LMFDB - Elliptic curve search results

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Conductor	j-invariant	Rank	Torsion	Complex multiplication

Bad$\ p$	Discriminant	Regulator	Analytic order of Ш	Galois image

Isogeny class size	Isogeny class degree	Cyclic isogeny degree	$p\ $div$\ $\|Ш\|	Nonmax$\ \ell$

Curves per isogeny class	Reduction	Integral points	Faltings height

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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	Regulator	$Ш_{\textrm{an}}$	Integral points	Modular degree	Faltings height	j-invariant	Weierstrass coefficients	Weierstrass equation
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	$1$	$1$	$4$	$2$	$-0.136205$	$4956477625/941192$	$[1, 0, 1, -36, -70]$	$y^2+xy+y=x^3-36x-70$
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	$1$	$1$	$4$	$6$	$-0.685512$	$128787625/98$	$[1, 0, 1, -11, 12]$	$y^2+xy+y=x^3-11x+12$
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	$1$	$1$	$5$	$3$	$-1.032085$	$-15625/28$	$[1, 0, 1, -1, 0]$	$y^2+xy+y=x^3-x$
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	$1$	$1$	$5$	$1$	$-0.482779$	$9938375/21952$	$[1, 0, 1, 4, -6]$	$y^2+xy+y=x^3+4x-6$
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	$1$	$1$	$5$	$2$	$-0.929950$	$16384/5$	$[0, 1, 0, -1, 0]$	$y^2=x^3+x^2-x$
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	$1$	$1$	$5$	$1$	$-0.583377$	$21296/25$	$[0, 1, 0, 4, 4]$	$y^2=x^3+x^2+4x+4$
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	$1$	$1$	$4$	$8$	$0.014860$	$2656166199049/33750$	$[1, 0, 1, -289, 1862]$	$y^2+xy+y=x^3-289x+1862$
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	$1$	$1$	$4$	$8$	$0.014860$	$35578826569/5314410$	$[1, 0, 1, -69, -194]$	$y^2+xy+y=x^3-69x-194$
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	$1$	$1$	$5$	$2$	$-0.678288$	$357911/2160$	$[1, 0, 1, 1, 2]$	$y^2+xy+y=x^3+x+2$
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	$1$	$1$	$4$	$4$	$-0.369819$	$8805624625/2312$	$[1, 0, 0, -43, 105]$	$y^2+xy=x^3-43x+105$
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	$1$	$1$	$5$	$2$	$-0.716393$	$3048625/1088$	$[1, 0, 0, -3, 1]$	$y^2+xy=x^3-3x+1$
36.a2	36a2	36.a	36a	$4$	$6$	$ 2^{2} \cdot 3^{2} $	$ 2^{8} \cdot 3^{3} $	$0$	$\Z/6\Z$	$\Q(\sqrt{-3})$	$-12$	$N(\mathrm{U}(1))$		✓	$3$	27.648.18.1	3B.1.1	$1$	$1$	$5$	$2$	$-0.468842$	$54000$	$[0, 0, 0, -15, 22]$	$y^2=x^3-15x+22$
36.a4	36a1	36.a	36a	$4$	$6$	$ 2^{2} \cdot 3^{2} $	$ - 2^{4} \cdot 3^{3} $	$0$	$\Z/6\Z$	$\Q(\sqrt{-3})$	$-3$	$N(\mathrm{U}(1))$		✓	$2, 3$	16.192.9.83, 27.648.18.1	2B, 3B.1.1	$1$	$1$	$5$	$1$	$-0.815415$	$0$	$[0, 0, 0, 0, 1]$	$y^2=x^3+1$
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	$1$	$1$	$5$	$4$	$-0.659383$	$18609625/1188$	$[1, 0, 1, -6, 4]$	$y^2+xy+y=x^3-6x+4$
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	$1$	$1$	$4$	$8$	$-0.312809$	$9938375/176418$	$[1, 0, 1, 4, 20]$	$y^2+xy+y=x^3+4x+20$
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	$1$	$1$	$5$	$12$	$-0.134497$	$9826000/5103$	$[0, 1, 0, -28, -28]$	$y^2=x^3+x^2-28x-28$
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	$1$	$1$	$5$	$6$	$-0.481071$	$2048000/1323$	$[0, 1, 0, 7, 0]$	$y^2=x^3+x^2+7x$
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	$1$	$1$	$4$	$16$	$-0.171788$	$57960603/31250$	$[1, -1, 0, -24, 18]$	$y^2+xy=x^3-x^2-24x+18$
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	$1$	$1$	$5$	$8$	$-0.518362$	$804357/500$	$[1, -1, 0, 6, 0]$	$y^2+xy=x^3-x^2+6x$
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	$1$	$1$	$4$	$16$	$-0.171788$	$8527173507/200$	$[1, -1, 1, -128, 587]$	$y^2+xy+y=x^3-x^2-128x+587$
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	$1$	$1$	$5$	$8$	$-0.518362$	$-1860867/320$	$[1, -1, 1, -8, 11]$	$y^2+xy+y=x^3-x^2-8x+11$
90.c1	90c8	90.c	90c	$8$	$12$	$ 2 \cdot 3^{2} \cdot 5 $	$ 2^{3} \cdot 3^{10} \cdot 5^{3} $	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	8.12.0.6, 3.8.0.1	2B, 3B.1.1	$1$	$1$	$4$	$192$	$1.113472$	$16778985534208729/81000$	$[1, -1, 1, -48002, 4059929]$	$y^2+xy+y=x^3-x^2-48002x+4059929$
90.c2	90c7	90.c	90c	$8$	$12$	$ 2 \cdot 3^{2} \cdot 5 $	$ 2^{3} \cdot 3^{7} \cdot 5^{12} $	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.12.0.8, 3.8.0.1	2B, 3B.1.1	$1$	$1$	$4$	$192$	$1.113472$	$10316097499609/5859375000$	$[1, -1, 1, -4082, 14681]$	$y^2+xy+y=x^3-x^2-4082x+14681$
102.b2	102c1	102.b	102c	$4$	$6$	$ 2 \cdot 3 \cdot 17 $	$ 2^{6} \cdot 3^{6} \cdot 17 $	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	8.6.0.4, 3.8.0.1	2B, 3B.1.1	$1$	$1$	$5$	$24$	$0.092120$	$1845026709625/793152$	$[1, 0, 1, -256, 1550]$	$y^2+xy+y=x^3-256x+1550$
102.b3	102c2	102.b	102c	$4$	$6$	$ 2 \cdot 3 \cdot 17 $	$ - 2^{3} \cdot 3^{12} \cdot 17^{2} $	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	8.6.0.5, 3.8.0.1	2B, 3B.1.1	$1$	$1$	$4$	$48$	$0.438694$	$-1107111813625/1228691592$	$[1, 0, 1, -216, 2062]$	$y^2+xy+y=x^3-216x+2062$
114.c3	114a1	114.c	114a	$4$	$6$	$ 2 \cdot 3 \cdot 19 $	$ 2^{6} \cdot 3^{3} \cdot 19 $	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	8.6.0.4, 3.8.0.1	2B, 3B.1.1	$1$	$1$	$5$	$12$	$-0.443804$	$57066625/32832$	$[1, 0, 0, -8, 0]$	$y^2+xy=x^3-8x$
114.c4	114a2	114.c	114a	$4$	$6$	$ 2 \cdot 3 \cdot 19 $	$ - 2^{3} \cdot 3^{6} \cdot 19^{2} $	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	8.6.0.5, 3.8.0.1	2B, 3B.1.1	$1$	$1$	$4$	$24$	$-0.097231$	$3616805375/2105352$	$[1, 0, 0, 32, 8]$	$y^2+xy=x^3+32x+8$
126.b1	126a6	126.b	126a	$6$	$18$	$ 2 \cdot 3^{2} \cdot 7 $	$ 2^{9} \cdot 3^{6} \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	$1$	$1$	$4$	$144$	$0.962407$	$2251439055699625/25088$	$[1, -1, 1, -24575, 1488935]$	$y^2+xy+y=x^3-x^2-24575x+1488935$
126.b2	126a5	126.b	126a	$6$	$18$	$ 2 \cdot 3^{2} \cdot 7 $	$ - 2^{18} \cdot 3^{6} \cdot 7 $	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	8.6.0.1, 9.24.0.1	2B, 3B.1.1	$1$	$1$	$5$	$72$	$0.615833$	$-548347731625/1835008$	$[1, -1, 1, -1535, 23591]$	$y^2+xy+y=x^3-x^2-1535x+23591$
126.b3	126a4	126.b	126a	$6$	$18$	$ 2 \cdot 3^{2} \cdot 7 $	$ 2^{3} \cdot 3^{6} \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	$1$	$1$	$4$	$48$	$0.413101$	$4956477625/941192$	$[1, -1, 1, -320, 1883]$	$y^2+xy+y=x^3-x^2-320x+1883$
126.b6	126a3	126.b	126a	$6$	$18$	$ 2 \cdot 3^{2} \cdot 7 $	$ - 2^{6} \cdot 3^{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	$1$	$1$	$5$	$24$	$0.066527$	$9938375/21952$	$[1, -1, 1, 40, 155]$	$y^2+xy+y=x^3-x^2+40x+155$
130.a2	130a1	130.a	130a	$4$	$6$	$ 2 \cdot 5 \cdot 13 $	$ 2^{4} \cdot 5^{3} \cdot 13 $	$1$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	8.12.0.21, 3.8.0.1	2B, 3B.1.1	$1.170464153$	$1$	$13$	$24$	$-0.318857$	$3803721481/26000$	$[1, 0, 1, -33, 68]$	$y^2+xy+y=x^3-33x+68$
130.a3	130a2	130.a	130a	$4$	$6$	$ 2 \cdot 5 \cdot 13 $	$ - 2^{2} \cdot 5^{6} \cdot 13^{2} $	$1$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	4.12.0.12, 3.8.0.1	2B, 3B.1.1	$0.585232076$	$1$	$20$	$48$	$0.027717$	$-217081801/10562500$	$[1, 0, 1, -13, 156]$	$y^2+xy+y=x^3-13x+156$
138.b2	138b2	138.b	138b	$4$	$6$	$ 2 \cdot 3 \cdot 23 $	$ 2^{2} \cdot 3^{3} \cdot 23^{2} $	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	2.3.0.1, 3.8.0.1	2B, 3B.1.1	$1$	$1$	$4$	$32$	$0.146704$	$21081759765625/57132$	$[1, 0, 1, -576, 5266]$	$y^2+xy+y=x^3-576x+5266$
138.b3	138b1	138.b	138b	$4$	$6$	$ 2 \cdot 3 \cdot 23 $	$ - 2^{4} \cdot 3^{6} \cdot 23 $	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	2.3.0.1, 3.8.0.1	2B, 3B.1.1	$1$	$1$	$5$	$16$	$-0.199870$	$-4956477625/268272$	$[1, 0, 1, -36, 82]$	$y^2+xy+y=x^3-36x+82$
156.b3	156b2	156.b	156b	$4$	$6$	$ 2^{2} \cdot 3 \cdot 13 $	$ 2^{8} \cdot 3^{3} \cdot 13^{2} $	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.8.0.1	2B, 3B.1.1	$1$	$1$	$5$	$24$	$0.030152$	$1409938000/4563$	$[0, 1, 0, -148, 644]$	$y^2=x^3+x^2-148x+644$
156.b4	156b1	156.b	156b	$4$	$6$	$ 2^{2} \cdot 3 \cdot 13 $	$ 2^{4} \cdot 3^{6} \cdot 13 $	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.8.0.1	2B, 3B.1.1	$1$	$1$	$5$	$12$	$-0.316421$	$16384000/9477$	$[0, 1, 0, -13, -4]$	$y^2=x^3+x^2-13x-4$
170.a2	170b1	170.a	170b	$4$	$6$	$ 2 \cdot 5 \cdot 17 $	$ 2^{8} \cdot 5^{2} \cdot 17^{3} $	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	8.12.0.22, 3.8.0.1	2B, 3B.1.1	$1$	$1$	$5$	$160$	$0.568171$	$1841373668746009/31443200$	$[1, 0, 1, -2554, 49452]$	$y^2+xy+y=x^3-2554x+49452$
170.a3	170b2	170.a	170b	$4$	$6$	$ 2 \cdot 5 \cdot 17 $	$ - 2^{4} \cdot 5^{4} \cdot 17^{6} $	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	8.12.0.37, 3.8.0.1	2B, 3B.1.1	$1$	$1$	$4$	$320$	$0.914744$	$-1673672305534489/241375690000$	$[1, 0, 1, -2474, 52716]$	$y^2+xy+y=x^3-2474x+52716$
180.a1	180a3	180.a	180a	$4$	$6$	$ 2^{2} \cdot 3^{2} \cdot 5 $	$ 2^{4} \cdot 3^{6} \cdot 5^{3} $	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.3, 3.8.0.1	2B, 3B.1.1	$1$	$1$	$5$	$36$	$0.168662$	$488095744/125$	$[0, 0, 0, -372, 2761]$	$y^2=x^3-372x+2761$
180.a2	180a4	180.a	180a	$4$	$6$	$ 2^{2} \cdot 3^{2} \cdot 5 $	$ - 2^{8} \cdot 3^{6} \cdot 5^{6} $	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.5, 3.8.0.1	2B, 3B.1.1	$1$	$1$	$5$	$72$	$0.515236$	$-20720464/15625$	$[0, 0, 0, -327, 3454]$	$y^2=x^3-327x+3454$
198.b3	198d2	198.b	198d	$4$	$6$	$ 2 \cdot 3^{2} \cdot 11 $	$ 2^{2} \cdot 3^{3} \cdot 11^{6} $	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.8.0.1	2B, 3B.1.1	$1$	$1$	$4$	$64$	$0.280059$	$13060888875/7086244$	$[1, -1, 0, -147, -135]$	$y^2+xy=x^3-x^2-147x-135$
198.b4	198d1	198.b	198d	$4$	$6$	$ 2 \cdot 3^{2} \cdot 11 $	$ 2^{4} \cdot 3^{3} \cdot 11^{3} $	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.8.0.1	2B, 3B.1.1	$1$	$1$	$5$	$32$	$-0.066515$	$2714704875/21296$	$[1, -1, 0, -87, 333]$	$y^2+xy=x^3-x^2-87x+333$
198.d2	198c2	198.d	198c	$4$	$6$	$ 2 \cdot 3^{2} \cdot 11 $	$ 2^{6} \cdot 3^{3} \cdot 11^{2} $	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.8.0.1	2B, 3B.1.1	$1$	$1$	$4$	$64$	$0.280059$	$4406910829875/7744$	$[1, -1, 1, -1025, 12881]$	$y^2+xy+y=x^3-x^2-1025x+12881$
198.d4	198c1	198.d	198c	$4$	$6$	$ 2 \cdot 3^{2} \cdot 11 $	$ 2^{12} \cdot 3^{3} \cdot 11 $	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.8.0.1	2B, 3B.1.1	$1$	$1$	$5$	$32$	$-0.066515$	$1108717875/45056$	$[1, -1, 1, -65, 209]$	$y^2+xy+y=x^3-x^2-65x+209$
198.e1	198b3	198.e	198b	$4$	$6$	$ 2 \cdot 3^{2} \cdot 11 $	$ 2^{6} \cdot 3^{7} \cdot 11^{3} $	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	8.6.0.4, 3.8.0.1	2B, 3B.1.1	$1$	$1$	$5$	$96$	$0.439229$	$57736239625/255552$	$[1, -1, 1, -725, 7661]$	$y^2+xy+y=x^3-x^2-725x+7661$
198.e2	198b4	198.e	198b	$4$	$6$	$ 2 \cdot 3^{2} \cdot 11 $	$ - 2^{3} \cdot 3^{8} \cdot 11^{6} $	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	8.6.0.5, 3.8.0.1	2B, 3B.1.1	$1$	$1$	$4$	$192$	$0.785803$	$-7357983625/127552392$	$[1, -1, 1, -365, 15005]$	$y^2+xy+y=x^3-x^2-365x+15005$
210.b4	210b4	210.b	210b	$8$	$12$	$ 2 \cdot 3 \cdot 5 \cdot 7 $	$ 2^{2} \cdot 3^{3} \cdot 5^{12} \cdot 7 $	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	4.12.0.8, 3.8.0.1	2B, 3B.1.1	$1$	$1$	$4$	$384$	$0.952959$	$9150443179640281/184570312500$	$[1, 0, 1, -4358, -109132]$	$y^2+xy+y=x^3-4358x-109132$
210.b7	210b1	210.b	210b	$8$	$12$	$ 2 \cdot 3 \cdot 5 \cdot 7 $	$ 2^{8} \cdot 3^{3} \cdot 5^{3} \cdot 7 $	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	8.12.0.6, 3.8.0.1	2B, 3B.1.1	$1$	$1$	$5$	$96$	$0.259812$	$13619385906841/6048000$	$[1, 0, 1, -498, 4228]$	$y^2+xy+y=x^3-498x+4228$
210.d2	210a4	210.d	210a	$8$	$12$	$ 2 \cdot 3 \cdot 5 \cdot 7 $	$ 2^{3} \cdot 3^{3} \cdot 5 \cdot 7^{4} $	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	8.12.0.8, 3.8.0.1	2B, 3B.1.1	$1$	$1$	$4$	$192$	$0.649720$	$21145699168383889/2593080$	$[1, 0, 0, -5761, 167825]$	$y^2+xy=x^3-5761x+167825$

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