Elliptic curve search results

The results below are complete, since the LMFDB contains all elliptic curves with conductor at most 500000

Results (1-50 of 53168 matches)

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Label	Cremona label	Class	Cremona class	Class size	Class degree	Conductor	Discriminant	Rank	Torsion	$\textrm{End}^0(E_{\overline\Q})$	CM	Sato-Tate	Semistable	Potentially good	Nonmax $\ell$	$\ell$-adic images	mod-$\ell$ images	Adelic level	Adelic index	Adelic genus	Regulator	$Ш_{\textrm{an}}$	Ш primes	Integral points	Modular degree	Faltings height	j-invariant	$abc$ quality	Szpiro ratio	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators	Manin constant
14.a1	14a5	14.a	14a	$6$	$18$	\( 2 \cdot 7 \)	\( 2^{9} \cdot 7^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	8.6.0.6, 9.24.0.3	2B, 3B.1.2	$504$	$864$	$21$	$1$	$1$		$0$	$6$	$0.413101$	$2251439055699625/25088$	$1.06489$	$13.39507$	$[1, 0, 1, -2731, -55146]$	\(y^2+xy+y=x^3-2731x-55146\)	2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 8.6.0.b.1, 9.24.0-9.a.1.1, $\ldots$	$[ ]$	$1$
14.a2	14a3	14.a	14a	$6$	$18$	\( 2 \cdot 7 \)	\( - 2^{18} \cdot 7 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	8.6.0.1, 9.24.0.3	2B, 3B.1.2	$504$	$864$	$21$	$1$	$1$		$1$	$3$	$0.066527$	$-548347731625/1835008$	$1.02933$	$10.24454$	$[1, 0, 1, -171, -874]$	\(y^2+xy+y=x^3-171x-874\)	2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 8.6.0.c.1, 9.24.0-9.a.1.1, $\ldots$	$[ ]$	$1$
14.a3	14a2	14.a	14a	$6$	$18$	\( 2 \cdot 7 \)	\( 2^{3} \cdot 7^{6} \)	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	8.6.0.6, 3.24.0.1	2B, 3Cs.1.1	$504$	$864$	$21$	$1$	$1$		$4$	$2$	$-0.136205$	$4956477625/941192$	$1.00821$	$8.45907$	$[1, 0, 1, -36, -70]$	\(y^2+xy+y=x^3-36x-70\)	2.3.0.a.1, 3.24.0-3.a.1.1, 6.72.0-6.a.1.1, 8.6.0.b.1, 24.144.1-24.h.1.1, $\ldots$	$[ ]$	$1$
14.a4	14a6	14.a	14a	$6$	$18$	\( 2 \cdot 7 \)	\( 2 \cdot 7^{2} \)	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	8.6.0.6, 9.24.0.1	2B, 3B.1.1	$504$	$864$	$21$	$1$	$1$		$4$	$6$	$-0.685512$	$128787625/98$	$0.96763$	$7.07589$	$[1, 0, 1, -11, 12]$	\(y^2+xy+y=x^3-11x+12\)	2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 8.6.0.b.1, 9.24.0-9.a.1.2, $\ldots$	$[ ]$	$3$
14.a5	14a4	14.a	14a	$6$	$18$	\( 2 \cdot 7 \)	\( - 2^{2} \cdot 7 \)	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	8.6.0.1, 9.24.0.1	2B, 3B.1.1	$504$	$864$	$21$	$1$	$1$		$5$	$3$	$-1.032085$	$-15625/28$	$1.01712$	$4.19346$	$[1, 0, 1, -1, 0]$	\(y^2+xy+y=x^3-x\)	2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 8.6.0.c.1, 9.24.0-9.a.1.2, $\ldots$	$[ ]$	$3$
14.a6	14a1	14.a	14a	$6$	$18$	\( 2 \cdot 7 \)	\( - 2^{6} \cdot 7^{3} \)	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	8.6.0.1, 3.24.0.1	2B, 3Cs.1.1	$504$	$864$	$21$	$1$	$1$		$5$	$1$	$-0.482779$	$9938375/21952$	$0.98695$	$6.49759$	$[1, 0, 1, 4, -6]$	\(y^2+xy+y=x^3+4x-6\)	2.3.0.a.1, 3.24.0-3.a.1.1, 6.72.0-6.a.1.1, 8.6.0.c.1, 14.6.0.b.1, $\ldots$	$[ ]$	$1$
20.a1	20a4	20.a	20a	$4$	$6$	\( 2^{2} \cdot 5 \)	\( 2^{4} \cdot 5^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	8.12.0.22, 3.8.0.2	2B, 3B.1.2	$120$	$384$	$9$	$1$	$1$		$1$	$6$	$-0.380644$	$488095744/125$	$1.07376$	$7.60369$	$[0, 1, 0, -41, -116]$	\(y^2=x^3+x^2-41x-116\)	2.3.0.a.1, 3.8.0-3.a.1.1, 4.6.0.b.1, 6.24.0-6.a.1.2, 8.12.0-4.b.1.2, $\ldots$	$[ ]$	$2$
20.a2	20a3	20.a	20a	$4$	$6$	\( 2^{2} \cdot 5 \)	\( - 2^{8} \cdot 5^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	8.12.0.37, 3.8.0.2	2B, 3B.1.2	$120$	$384$	$9$	$1$	$1$		$1$	$3$	$-0.034070$	$-20720464/15625$	$0.95894$	$7.75305$	$[0, 1, 0, -36, -140]$	\(y^2=x^3+x^2-36x-140\)	2.3.0.a.1, 3.8.0-3.a.1.1, 4.6.0.a.1, 6.24.0-6.a.1.2, 8.12.0-4.a.1.1, $\ldots$	$[ ]$	$1$
20.a3	20a2	20.a	20a	$4$	$6$	\( 2^{2} \cdot 5 \)	\( 2^{4} \cdot 5 \)	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	8.12.0.22, 3.8.0.1	2B, 3B.1.1	$120$	$384$	$9$	$1$	$1$		$5$	$2$	$-0.929950$	$16384/5$	$0.95621$	$4.16481$	$[0, 1, 0, -1, 0]$	\(y^2=x^3+x^2-x\)	2.3.0.a.1, 3.8.0-3.a.1.2, 4.6.0.b.1, 6.24.0-6.a.1.4, 8.12.0-4.b.1.2, $\ldots$	$[ ]$	$2$
20.a4	20a1	20.a	20a	$4$	$6$	\( 2^{2} \cdot 5 \)	\( - 2^{8} \cdot 5^{2} \)	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	8.12.0.37, 3.8.0.1	2B, 3B.1.1	$120$	$384$	$9$	$1$	$1$		$5$	$1$	$-0.583377$	$21296/25$	$0.83964$	$5.18725$	$[0, 1, 0, 4, 4]$	\(y^2=x^3+x^2+4x+4\)	2.3.0.a.1, 3.8.0-3.a.1.2, 4.6.0.a.1, 6.24.0-6.a.1.4, 8.12.0-4.a.1.1, $\ldots$	$[ ]$	$1$
30.a1	30a7	30.a	30a	$8$	$12$	\( 2 \cdot 3 \cdot 5 \)	\( 2^{3} \cdot 3^{4} \cdot 5^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	8.12.0.7, 3.8.0.2	2B, 3B.1.2	$120$	$384$	$5$	$1$	$1$		$0$	$24$	$0.564166$	$16778985534208729/81000$	$1.08181$	$10.98404$	$[1, 0, 1, -5334, -150368]$	\(y^2+xy+y=x^3-5334x-150368\)	2.3.0.a.1, 3.8.0-3.a.1.1, 4.6.0.c.1, 6.24.0-6.a.1.2, 8.12.0-4.c.1.3, $\ldots$	$[ ]$	$1$
30.a2	30a8	30.a	30a	$8$	$12$	\( 2 \cdot 3 \cdot 5 \)	\( 2^{3} \cdot 3 \cdot 5^{12} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	8.12.0.8, 3.8.0.2	2B, 3B.1.2	$120$	$384$	$5$	$1$	$1$		$0$	$24$	$0.564166$	$10316097499609/5859375000$	$1.13600$	$8.81005$	$[1, 0, 1, -454, -544]$	\(y^2+xy+y=x^3-454x-544\)	2.3.0.a.1, 3.8.0-3.a.1.1, 4.6.0.c.1, 6.24.0-6.a.1.2, 8.12.0-4.c.1.4, $\ldots$	$[ ]$	$1$
30.a3	30a6	30.a	30a	$8$	$12$	\( 2 \cdot 3 \cdot 5 \)	\( 2^{6} \cdot 3^{2} \cdot 5^{6} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	8.12.0.1, 3.8.0.2	2Cs, 3B.1.2	$120$	$384$	$5$	$1$	$1$		$2$	$12$	$0.217592$	$4102915888729/9000000$	$1.05221$	$8.53897$	$[1, 0, 1, -334, -2368]$	\(y^2+xy+y=x^3-334x-2368\)	2.6.0.a.1, 3.8.0-3.a.1.1, 6.48.0-6.a.1.2, 8.12.0-2.a.1.1, 12.96.0-12.a.1.15, $\ldots$	$[ ]$	$1$
30.a4	30a5	30.a	30a	$8$	$12$	\( 2 \cdot 3 \cdot 5 \)	\( 2 \cdot 3^{3} \cdot 5^{4} \)	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	8.12.0.8, 3.8.0.1	2B, 3B.1.1	$120$	$384$	$5$	$1$	$1$		$4$	$8$	$0.014860$	$2656166199049/33750$	$1.05017$	$8.41113$	$[1, 0, 1, -289, 1862]$	\(y^2+xy+y=x^3-289x+1862\)	2.3.0.a.1, 3.8.0-3.a.1.2, 4.6.0.c.1, 6.24.0-6.a.1.4, 8.12.0-4.c.1.4, $\ldots$	$[ ]$	$1$
30.a5	30a4	30.a	30a	$8$	$12$	\( 2 \cdot 3 \cdot 5 \)	\( 2 \cdot 3^{12} \cdot 5 \)	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	8.12.0.7, 3.8.0.1	2B, 3B.1.1	$120$	$384$	$5$	$1$	$1$		$4$	$8$	$0.014860$	$35578826569/5314410$	$1.03393$	$7.14308$	$[1, 0, 1, -69, -194]$	\(y^2+xy+y=x^3-69x-194\)	2.3.0.a.1, 3.8.0-3.a.1.2, 4.6.0.c.1, 6.24.0-6.a.1.4, 8.12.0-4.c.1.3, $\ldots$	$[ ]$	$1$
30.a6	30a2	30.a	30a	$8$	$12$	\( 2 \cdot 3 \cdot 5 \)	\( 2^{2} \cdot 3^{6} \cdot 5^{2} \)	$0$	$\Z/2\Z\oplus\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	8.12.0.1, 3.8.0.1	2Cs, 3B.1.1	$120$	$384$	$5$	$1$	$1$		$10$	$4$	$-0.331714$	$702595369/72900$	$1.00457$	$5.98915$	$[1, 0, 1, -19, 26]$	\(y^2+xy+y=x^3-19x+26\)	2.6.0.a.1, 3.8.0-3.a.1.2, 6.48.0-6.a.1.1, 8.12.0-2.a.1.1, 12.96.0-12.a.2.13, $\ldots$	$[ ]$	$1$
30.a7	30a3	30.a	30a	$8$	$12$	\( 2 \cdot 3 \cdot 5 \)	\( - 2^{12} \cdot 3 \cdot 5^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	8.12.0.12, 3.8.0.2	2B, 3B.1.2	$120$	$384$	$5$	$1$	$1$		$1$	$6$	$-0.128981$	$-273359449/1536000$	$1.04920$	$6.40875$	$[1, 0, 1, -14, -64]$	\(y^2+xy+y=x^3-14x-64\)	2.3.0.a.1, 3.8.0-3.a.1.1, 4.6.0.c.1, 6.24.0-6.a.1.2, 8.12.0-4.c.1.2, $\ldots$	$[ ]$	$1$
30.a8	30a1	30.a	30a	$8$	$12$	\( 2 \cdot 3 \cdot 5 \)	\( - 2^{4} \cdot 3^{3} \cdot 5 \)	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	8.12.0.12, 3.8.0.1	2B, 3B.1.1	$120$	$384$	$5$	$1$	$1$		$5$	$2$	$-0.678288$	$357911/2160$	$0.99689$	$4.41955$	$[1, 0, 1, 1, 2]$	\(y^2+xy+y=x^3+x+2\)	2.3.0.a.1, 3.8.0-3.a.1.2, 4.6.0.c.1, 6.24.0-6.a.1.4, 8.12.0-4.c.1.2, $\ldots$	$[ ]$	$1$
34.a1	34a4	34.a	34a	$4$	$6$	\( 2 \cdot 17 \)	\( 2 \cdot 17^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	8.6.0.6, 3.8.0.2	2B, 3B.1.2	$408$	$96$	$1$	$1$	$1$		$0$	$12$	$0.179487$	$159661140625/48275138$	$1.06848$	$7.31528$	$[1, 0, 0, -113, -329]$	\(y^2+xy=x^3-113x-329\)	2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 8.6.0.b.1, 24.48.0-24.y.1.13, $\ldots$	$[ ]$	$1$
34.a2	34a3	34.a	34a	$4$	$6$	\( 2 \cdot 17 \)	\( 2^{2} \cdot 17^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	8.6.0.1, 3.8.0.2	2B, 3B.1.2	$408$	$96$	$1$	$1$	$1$		$1$	$6$	$-0.167086$	$120920208625/19652$	$0.98564$	$7.23647$	$[1, 0, 0, -103, -411]$	\(y^2+xy=x^3-103x-411\)	2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 8.6.0.c.1, 24.48.0-24.bw.1.11, $\ldots$	$[ ]$	$1$
34.a3	34a2	34.a	34a	$4$	$6$	\( 2 \cdot 17 \)	\( 2^{3} \cdot 17^{2} \)	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	8.6.0.6, 3.8.0.1	2B, 3B.1.1	$408$	$96$	$1$	$1$	$1$		$4$	$4$	$-0.369819$	$8805624625/2312$	$0.96590$	$6.49357$	$[1, 0, 0, -43, 105]$	\(y^2+xy=x^3-43x+105\)	2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 8.6.0.b.1, 24.48.0-24.y.1.15, $\ldots$	$[ ]$	$1$
34.a4	34a1	34.a	34a	$4$	$6$	\( 2 \cdot 17 \)	\( 2^{6} \cdot 17 \)	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	8.6.0.1, 3.8.0.1	2B, 3B.1.1	$408$	$96$	$1$	$1$	$1$		$5$	$2$	$-0.716393$	$3048625/1088$	$0.90010$	$4.23388$	$[1, 0, 0, -3, 1]$	\(y^2+xy=x^3-3x+1\)	2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 8.6.0.c.1, 24.48.0-24.bw.1.15, $\ldots$	$[ ]$	$1$
50.a1	50a2	50.a	50a	$4$	$15$	\( 2 \cdot 5^{2} \)	\( - 2^{3} \cdot 5^{4} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 3, 5$	8.2.0.1, 3.8.0.2, 5.24.0.4	3B.1.2, 5B.1.3	$120$	$384$	$9$	$1$	$1$		$0$	$6$	$-0.176793$	$-349938025/8$	$1.05078$	$6.67457$	$[1, 0, 1, -126, -552]$	\(y^2+xy+y=x^3-126x-552\)	3.8.0-3.a.1.1, 5.24.0-5.a.2.1, 8.2.0.a.1, 15.192.1-15.a.1.1, 24.16.0-24.a.1.6, $\ldots$	$[ ]$	$1$
50.a2	50a3	50.a	50a	$4$	$15$	\( 2 \cdot 5^{2} \)	\( - 2^{5} \cdot 5^{8} \)	$0$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3, 5$	8.2.0.1, 3.8.0.1, 5.24.0.2	3B.1.1, 5B.1.4	$120$	$384$	$9$	$1$	$1$		$2$	$10$	$0.078619$	$-121945/32$	$0.94334$	$6.38053$	$[1, 0, 1, -76, 298]$	\(y^2+xy+y=x^3-76x+298\)	3.8.0-3.a.1.2, 5.24.0-5.a.1.1, 8.2.0.a.1, 15.192.1-15.a.4.4, 24.16.0-24.a.1.8, $\ldots$	$[ ]$	$1$
50.a3	50a1	50.a	50a	$4$	$15$	\( 2 \cdot 5^{2} \)	\( - 2 \cdot 5^{4} \)	$0$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3, 5$	8.2.0.1, 3.8.0.1, 5.24.0.4	3B.1.1, 5B.1.3	$120$	$384$	$9$	$1$	$1$		$2$	$2$	$-0.726100$	$-25/2$	$1.09044$	$3.73025$	$[1, 0, 1, -1, -2]$	\(y^2+xy+y=x^3-x-2\)	3.8.0-3.a.1.2, 5.24.0-5.a.2.1, 8.2.0.a.1, 15.192.1-15.a.2.3, 24.16.0-24.a.1.8, $\ldots$	$[ ]$	$1$
50.a4	50a4	50.a	50a	$4$	$15$	\( 2 \cdot 5^{2} \)	\( - 2^{15} \cdot 5^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 3, 5$	8.2.0.1, 3.8.0.2, 5.24.0.2	3B.1.2, 5B.1.4	$120$	$384$	$9$	$1$	$1$		$0$	$30$	$0.627926$	$46969655/32768$	$1.06296$	$7.80683$	$[1, 0, 1, 549, -2202]$	\(y^2+xy+y=x^3+549x-2202\)	3.8.0-3.a.1.1, 5.24.0-5.a.1.1, 8.2.0.a.1, 15.192.1-15.a.3.2, 24.16.0-24.a.1.6, $\ldots$	$[ ]$	$1$
50.b1	50b4	50.b	50b	$4$	$15$	\( 2 \cdot 5^{2} \)	\( - 2^{3} \cdot 5^{10} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 3, 5$	8.2.0.1, 3.4.0.1, 5.24.0.3	3B, 5B.1.2	$120$	$384$	$9$	$1$	$1$		$0$	$30$	$0.627926$	$-349938025/8$	$1.05078$	$9.14302$	$[1, 1, 1, -3138, -68969]$	\(y^2+xy+y=x^3+x^2-3138x-68969\)	3.4.0.a.1, 5.24.0-5.a.2.2, 8.2.0.a.1, 15.192.1-15.a.1.3, 24.8.0.a.1, $\ldots$	$[ ]$	$1$
50.b2	50b3	50.b	50b	$4$	$15$	\( 2 \cdot 5^{2} \)	\( - 2 \cdot 5^{10} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 3, 5$	8.2.0.1, 3.4.0.1, 5.24.0.3	3B, 5B.1.2	$120$	$384$	$9$	$1$	$1$		$0$	$10$	$0.078619$	$-25/2$	$1.09044$	$6.19870$	$[1, 1, 1, -13, -219]$	\(y^2+xy+y=x^3+x^2-13x-219\)	3.4.0.a.1, 5.24.0-5.a.2.2, 8.2.0.a.1, 15.192.1-15.a.2.4, 24.8.0.a.1, $\ldots$	$[ ]$	$1$
50.b3	50b1	50.b	50b	$4$	$15$	\( 2 \cdot 5^{2} \)	\( - 2^{5} \cdot 5^{2} \)	$0$	$\Z/5\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3, 5$	8.2.0.1, 3.4.0.1, 5.24.0.1	3B, 5B.1.1	$120$	$384$	$9$	$1$	$1$		$4$	$2$	$-0.726100$	$-121945/32$	$0.94334$	$3.91208$	$[1, 1, 1, -3, 1]$	\(y^2+xy+y=x^3+x^2-3x+1\)	3.4.0.a.1, 5.24.0-5.a.1.2, 8.2.0.a.1, 15.192.1-15.a.4.3, 24.8.0.a.1, $\ldots$	$[ ]$	$1$
50.b4	50b2	50.b	50b	$4$	$15$	\( 2 \cdot 5^{2} \)	\( - 2^{15} \cdot 5^{2} \)	$0$	$\Z/5\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3, 5$	8.2.0.1, 3.4.0.1, 5.24.0.1	3B, 5B.1.1	$120$	$384$	$9$	$1$	$1$		$4$	$6$	$-0.176793$	$46969655/32768$	$1.06296$	$5.33839$	$[1, 1, 1, 22, -9]$	\(y^2+xy+y=x^3+x^2+22x-9\)	3.4.0.a.1, 5.24.0-5.a.1.2, 8.2.0.a.1, 15.192.1-15.a.3.1, 24.8.0.a.1, $\ldots$	$[ ]$	$1$
66.a1	66a3	66.a	66a	$4$	$6$	\( 2 \cdot 3 \cdot 11 \)	\( 2^{6} \cdot 3 \cdot 11^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	8.6.0.4, 3.8.0.2	2B, 3B.1.2	$264$	$96$	$1$	$1$	$1$		$1$	$12$	$-0.110077$	$57736239625/255552$	$0.99775$	$5.91437$	$[1, 0, 1, -81, -284]$	\(y^2+xy+y=x^3-81x-284\)	2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 8.6.0.d.1, 24.48.0-24.bx.1.11, $\ldots$	$[ ]$	$1$
66.a2	66a4	66.a	66a	$4$	$6$	\( 2 \cdot 3 \cdot 11 \)	\( - 2^{3} \cdot 3^{2} \cdot 11^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	8.6.0.5, 3.8.0.2	2B, 3B.1.2	$264$	$96$	$1$	$1$	$1$		$0$	$24$	$0.236497$	$-7357983625/127552392$	$1.05287$	$6.24195$	$[1, 0, 1, -41, -556]$	\(y^2+xy+y=x^3-41x-556\)	2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 8.6.0.a.1, 24.48.0-24.p.1.13, $\ldots$	$[ ]$	$1$
66.a3	66a1	66.a	66a	$4$	$6$	\( 2 \cdot 3 \cdot 11 \)	\( 2^{2} \cdot 3^{3} \cdot 11 \)	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	8.6.0.4, 3.8.0.1	2B, 3B.1.1	$264$	$96$	$1$	$1$	$1$		$5$	$4$	$-0.659383$	$18609625/1188$	$0.92581$	$3.99536$	$[1, 0, 1, -6, 4]$	\(y^2+xy+y=x^3-6x+4\)	2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 8.6.0.d.1, 24.48.0-24.bx.1.15, $\ldots$	$[ ]$	$1$
66.a4	66a2	66.a	66a	$4$	$6$	\( 2 \cdot 3 \cdot 11 \)	\( - 2 \cdot 3^{6} \cdot 11^{2} \)	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	8.6.0.5, 3.8.0.1	2B, 3B.1.1	$264$	$96$	$1$	$1$	$1$		$4$	$8$	$-0.312809$	$9938375/176418$	$1.01160$	$4.65484$	$[1, 0, 1, 4, 20]$	\(y^2+xy+y=x^3+4x+20\)	2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 8.6.0.a.1, 24.48.0-24.p.1.15, $\ldots$	$[ ]$	$1$
80.b1	80b4	80.b	80b	$4$	$6$	\( 2^{4} \cdot 5 \)	\( 2^{4} \cdot 5^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	8.12.0.22, 3.4.0.1	2B, 3B	$120$	$384$	$9$	$1$	$1$		$1$	$24$	$-0.380644$	$488095744/125$	$1.07376$	$5.19819$	$[0, -1, 0, -41, 116]$	\(y^2=x^3-x^2-41x+116\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.b.1, 6.12.0.a.1, 8.12.0-4.b.1.2, $\ldots$	$[ ]$	$2$
80.b2	80b3	80.b	80b	$4$	$6$	\( 2^{4} \cdot 5 \)	\( - 2^{8} \cdot 5^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	8.12.0.37, 3.4.0.1	2B, 3B	$120$	$384$	$9$	$1$	$1$		$1$	$12$	$-0.034070$	$-20720464/15625$	$0.95894$	$5.30030$	$[0, -1, 0, -36, 140]$	\(y^2=x^3-x^2-36x+140\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.a.1, 6.24.0-6.a.1.3, 8.12.0-4.a.1.1, $\ldots$	$[ ]$	$1$
80.b3	80b2	80.b	80b	$4$	$6$	\( 2^{4} \cdot 5 \)	\( 2^{4} \cdot 5 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	8.12.0.22, 3.4.0.1	2B, 3B	$120$	$384$	$9$	$1$	$1$		$1$	$8$	$-0.929950$	$16384/5$	$0.95621$	$2.84723$	$[0, -1, 0, -1, 0]$	\(y^2=x^3-x^2-x\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.b.1, 6.12.0.a.1, 8.12.0-4.b.1.2, $\ldots$	$[ ]$	$2$
80.b4	80b1	80.b	80b	$4$	$6$	\( 2^{4} \cdot 5 \)	\( - 2^{8} \cdot 5^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	8.12.0.37, 3.4.0.1	2B, 3B	$120$	$384$	$9$	$1$	$1$		$1$	$4$	$-0.583377$	$21296/25$	$0.83964$	$3.54621$	$[0, -1, 0, 4, -4]$	\(y^2=x^3-x^2+4x-4\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.a.1, 6.24.0-6.a.1.1, 8.12.0-4.a.1.1, $\ldots$	$[ ]$	$1$
84.b1	84a4	84.b	84a	$4$	$6$	\( 2^{2} \cdot 3 \cdot 7 \)	\( 2^{8} \cdot 3^{2} \cdot 7^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.8.0.2	2B, 3B.1.2	$84$	$96$	$1$	$1$	$1$		$1$	$36$	$0.414809$	$2640279346000/3087$	$1.02245$	$7.70672$	$[0, 1, 0, -1828, -30700]$	\(y^2=x^3+x^2-1828x-30700\)	2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 12.48.0-12.j.1.6, 28.6.0.a.1, $\ldots$	$[ ]$	$1$
84.b2	84a3	84.b	84a	$4$	$6$	\( 2^{2} \cdot 3 \cdot 7 \)	\( - 2^{4} \cdot 3 \cdot 7^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.8.0.2	2B, 3B.1.2	$84$	$96$	$1$	$1$	$1$		$1$	$18$	$0.068235$	$-10061824000/352947$	$1.07286$	$5.83717$	$[0, 1, 0, -113, -516]$	\(y^2=x^3+x^2-113x-516\)	2.3.0.a.1, 3.8.0-3.a.1.1, 6.48.0-6.b.1.1, 28.6.0.b.1, 84.96.1.?	$[ ]$	$1$
84.b3	84a2	84.b	84a	$4$	$6$	\( 2^{2} \cdot 3 \cdot 7 \)	\( 2^{8} \cdot 3^{6} \cdot 7 \)	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.8.0.1	2B, 3B.1.1	$84$	$96$	$1$	$1$	$1$		$5$	$12$	$-0.134497$	$9826000/5103$	$0.97243$	$4.88527$	$[0, 1, 0, -28, -28]$	\(y^2=x^3+x^2-28x-28\)	2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 12.48.0-12.j.1.8, 28.6.0.a.1, $\ldots$	$[ ]$	$1$
84.b4	84a1	84.b	84a	$4$	$6$	\( 2^{2} \cdot 3 \cdot 7 \)	\( - 2^{4} \cdot 3^{3} \cdot 7^{2} \)	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.8.0.1	2B, 3B.1.1	$84$	$96$	$1$	$1$	$1$		$5$	$6$	$-0.481071$	$2048000/1323$	$1.10843$	$3.90559$	$[0, 1, 0, 7, 0]$	\(y^2=x^3+x^2+7x\)	2.3.0.a.1, 3.8.0-3.a.1.2, 6.48.0-6.b.1.2, 28.6.0.b.1, 84.96.1.?	$[ ]$	$1$
90.a1	90a4	90.a	90a	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5 \)	\( 2^{3} \cdot 3^{9} \cdot 5^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.8.0.2	2B, 3B.1.2	$120$	$96$	$1$	$1$	$1$		$0$	$48$	$0.377518$	$8527173507/200$	$1.05154$	$7.27898$	$[1, -1, 0, -1149, -14707]$	\(y^2+xy=x^3-x^2-1149x-14707\)	2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 24.48.0-24.ca.1.7, 40.6.0.e.1, $\ldots$	$[ ]$	$1$
90.a2	90a3	90.a	90a	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5 \)	\( - 2^{6} \cdot 3^{9} \cdot 5 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.8.0.2	2B, 3B.1.2	$120$	$96$	$1$	$1$	$1$		$1$	$24$	$0.030944$	$-1860867/320$	$0.97305$	$5.46339$	$[1, -1, 0, -69, -235]$	\(y^2+xy=x^3-x^2-69x-235\)	2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 24.48.0-24.cd.1.11, 30.48.0-30.b.1.3, $\ldots$	$[ ]$	$1$
90.a3	90a2	90.a	90a	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5 \)	\( 2 \cdot 3^{3} \cdot 5^{6} \)	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.8.0.1	2B, 3B.1.1	$120$	$96$	$1$	$1$	$1$		$4$	$16$	$-0.171788$	$57960603/31250$	$1.11205$	$4.70489$	$[1, -1, 0, -24, 18]$	\(y^2+xy=x^3-x^2-24x+18\)	2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 24.48.0-24.ca.1.15, 40.6.0.e.1, $\ldots$	$[ ]$	$1$
90.a4	90a1	90.a	90a	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5 \)	\( - 2^{2} \cdot 3^{3} \cdot 5^{3} \)	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.8.0.1	2B, 3B.1.1	$120$	$96$	$1$	$1$	$1$		$5$	$8$	$-0.518362$	$804357/500$	$1.08207$	$3.75430$	$[1, -1, 0, 6, 0]$	\(y^2+xy=x^3-x^2+6x\)	2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 24.48.0-24.cd.1.15, 30.48.0-30.b.1.4, $\ldots$	$[ ]$	$1$
90.b1	90b4	90.b	90b	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5 \)	\( 2 \cdot 3^{9} \cdot 5^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.8.0.2	2B, 3B.1.2	$120$	$96$	$1$	$1$	$1$		$0$	$48$	$0.377518$	$57960603/31250$	$1.11205$	$6.16977$	$[1, -1, 1, -218, -269]$	\(y^2+xy+y=x^3-x^2-218x-269\)	2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 24.48.0-24.ca.1.7, 40.6.0.e.1, $\ldots$	$[ ]$	$1$
90.b2	90b2	90.b	90b	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5 \)	\( 2^{3} \cdot 3^{3} \cdot 5^{2} \)	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.8.0.1	2B, 3B.1.1	$120$	$96$	$1$	$1$	$1$		$4$	$16$	$-0.171788$	$8527173507/200$	$1.05154$	$5.81410$	$[1, -1, 1, -128, 587]$	\(y^2+xy+y=x^3-x^2-128x+587\)	2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 24.48.0-24.ca.1.15, 40.6.0.e.1, $\ldots$	$[ ]$	$1$
90.b3	90b1	90.b	90b	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5 \)	\( - 2^{6} \cdot 3^{3} \cdot 5 \)	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.8.0.1	2B, 3B.1.1	$120$	$96$	$1$	$1$	$1$		$5$	$8$	$-0.518362$	$-1860867/320$	$0.97305$	$3.99852$	$[1, -1, 1, -8, 11]$	\(y^2+xy+y=x^3-x^2-8x+11\)	2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 24.48.0-24.cd.1.15, 30.48.0-30.b.1.4, $\ldots$	$[ ]$	$1$
90.b4	90b3	90.b	90b	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5 \)	\( - 2^{2} \cdot 3^{9} \cdot 5^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.8.0.2	2B, 3B.1.2	$120$	$96$	$1$	$1$	$1$		$1$	$24$	$0.030944$	$804357/500$	$1.08207$	$5.21918$	$[1, -1, 1, 52, -53]$	\(y^2+xy+y=x^3-x^2+52x-53\)	2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 24.48.0-24.cd.1.11, 30.48.0-30.b.1.3, $\ldots$	$[ ]$	$1$

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