Elliptic curve search results

Results (18 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
3870.e2	3870d3	3870.e	3870d	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5 \cdot 43 \)	\( 2^{24} \cdot 3^{9} \cdot 5^{2} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.8.0.2	2B, 3B.1.2	$2580$	$96$	$1$	$5.501926850$	$1$		$1$	$27648$	$1.743456$	$35198225176082067/18035507200$	$0.99251$	$5.80889$	$[1, -1, 0, -184344, -30404800]$	\(y^2+xy=x^3-x^2-184344x-30404800\)	2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 60.48.0-60.s.1.15, 258.48.0.?, $\ldots$	$[(-3971/4, 571/4)]$	$1$
3870.l4	3870m1	3870.l	3870m	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5 \cdot 43 \)	\( 2^{24} \cdot 3^{3} \cdot 5^{2} \cdot 43 \)	$1$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.8.0.1	2B, 3B.1.1	$2580$	$96$	$1$	$1.876700319$	$1$		$13$	$9216$	$1.194151$	$35198225176082067/18035507200$	$0.99251$	$5.01096$	$[1, -1, 1, -20483, 1132931]$	\(y^2+xy+y=x^3-x^2-20483x+1132931\)	2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 60.48.0-60.s.1.16, 258.48.0.?, $\ldots$	$[(85, -68)]$	$1$
19350.bk4	19350c1	19350.bk	19350c	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 43 \)	\( 2^{24} \cdot 3^{3} \cdot 5^{8} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$2580$	$96$	$1$	$2.591022827$	$1$		$3$	$221184$	$1.998869$	$35198225176082067/18035507200$	$0.99251$	$5.17223$	$[1, -1, 0, -512067, 141104341]$	\(y^2+xy=x^3-x^2-512067x+141104341\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.8, 15.8.0-3.a.1.2, $\ldots$	$[(399, 238)]$	$1$
19350.cs2	19350bq3	19350.cs	19350bq	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 43 \)	\( 2^{24} \cdot 3^{9} \cdot 5^{8} \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$2580$	$96$	$1$	$1$	$1$		$1$	$663552$	$2.548176$	$35198225176082067/18035507200$	$0.99251$	$5.84005$	$[1, -1, 1, -4608605, -3805208603]$	\(y^2+xy+y=x^3-x^2-4608605x-3805208603\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.2, 15.8.0-3.a.1.1, $\ldots$	$[ ]$	$1$
30960.z4	30960s1	30960.z	30960s	$4$	$6$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( 2^{36} \cdot 3^{3} \cdot 5^{2} \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$2580$	$96$	$1$	$1$	$4$	$2$	$1$	$221184$	$1.887297$	$35198225176082067/18035507200$	$0.99251$	$4.80766$	$[0, 0, 0, -327723, -72179878]$	\(y^2=x^3-327723x-72179878\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.3, 60.48.0-60.s.1.14, $\ldots$	$[ ]$	$1$
30960.cb2	30960y3	30960.cb	30960y	$4$	$6$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( 2^{36} \cdot 3^{9} \cdot 5^{2} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$2580$	$96$	$1$	$6.641477988$	$1$		$1$	$663552$	$2.436604$	$35198225176082067/18035507200$	$0.99251$	$5.44512$	$[0, 0, 0, -2949507, 1948856706]$	\(y^2=x^3-2949507x+1948856706\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.9, 60.48.0-60.s.1.13, $\ldots$	$[(24351/5, 25974/5)]$	$1$
123840.f2	123840f3	123840.f	123840f	$4$	$6$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( 2^{42} \cdot 3^{9} \cdot 5^{2} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$5160$	$96$	$1$	$11.06181307$	$1$		$3$	$5308416$	$2.783176$	$35198225176082067/18035507200$	$0.99251$	$5.15607$	$[0, 0, 0, -11798028, -15590853648]$	\(y^2=x^3-11798028x-15590853648\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.3, 60.24.0.s.1, $\ldots$	$[(282856, 150423580)]$	$1$
123840.dh2	123840dv3	123840.dh	123840dv	$4$	$6$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( 2^{42} \cdot 3^{9} \cdot 5^{2} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$5160$	$96$	$1$	$9.300735047$	$1$		$1$	$5308416$	$2.783176$	$35198225176082067/18035507200$	$0.99251$	$5.15607$	$[0, 0, 0, -11798028, 15590853648]$	\(y^2=x^3-11798028x+15590853648\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.14, 60.24.0.s.1, $\ldots$	$[(54556/3, 11027600/3)]$	$1$
123840.dx4	123840u1	123840.dx	123840u	$4$	$6$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( 2^{42} \cdot 3^{3} \cdot 5^{2} \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$5160$	$96$	$1$	$1$	$1$		$1$	$1769472$	$2.233871$	$35198225176082067/18035507200$	$0.99251$	$4.59396$	$[0, 0, 0, -1310892, 577439024]$	\(y^2=x^3-1310892x+577439024\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.11, 60.24.0.s.1, $\ldots$	$[ ]$	$1$
123840.gh4	123840eg1	123840.gh	123840eg	$4$	$6$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( 2^{42} \cdot 3^{3} \cdot 5^{2} \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$5160$	$96$	$1$	$1$	$9$	$3$	$1$	$1769472$	$2.233871$	$35198225176082067/18035507200$	$0.99251$	$4.59396$	$[0, 0, 0, -1310892, -577439024]$	\(y^2=x^3-1310892x-577439024\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.6, 60.24.0.s.1, $\ldots$	$[ ]$	$1$
154800.l4	154800dw1	154800.l	154800dw	$4$	$6$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 43 \)	\( 2^{36} \cdot 3^{3} \cdot 5^{8} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$2580$	$96$	$1$	$5.092872974$	$1$		$3$	$5308416$	$2.692017$	$35198225176082067/18035507200$	$0.99251$	$4.96825$	$[0, 0, 0, -8193075, -9022484750]$	\(y^2=x^3-8193075x-9022484750\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.5, 60.48.0-60.s.1.9, $\ldots$	$[(4655, 231750)]$	$1$
154800.o2	154800dz3	154800.o	154800dz	$4$	$6$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 43 \)	\( 2^{36} \cdot 3^{9} \cdot 5^{8} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$2580$	$96$	$1$	$6.586643526$	$1$		$1$	$15925248$	$3.241322$	$35198225176082067/18035507200$	$0.99251$	$5.51986$	$[0, 0, 0, -73737675, 243607088250]$	\(y^2=x^3-73737675x+243607088250\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.11, 60.48.0-60.s.1.10, $\ldots$	$[(43015/3, 511750/3)]$	$1$
166410.bl4	166410cs1	166410.bl	166410cs	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5 \cdot 43^{2} \)	\( 2^{24} \cdot 3^{3} \cdot 5^{2} \cdot 43^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$2580$	$96$	$1$	$32.58903413$	$1$		$1$	$17031168$	$3.074749$	$35198225176082067/18035507200$	$0.99251$	$5.32039$	$[1, -1, 0, -37872489, -89659368755]$	\(y^2+xy=x^3-x^2-37872489x-89659368755\)	2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.3, 60.48.0-60.s.1.2, 129.8.0.?, $\ldots$	$[(-33246859728568891/3045916, 204400441361262871289009/3045916)]$	$1$
166410.cj2	166410bh3	166410.cj	166410bh	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5 \cdot 43^{2} \)	\( 2^{24} \cdot 3^{9} \cdot 5^{2} \cdot 43^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$2580$	$96$	$1$	$3.390852898$	$1$		$3$	$51093504$	$3.624058$	$35198225176082067/18035507200$	$0.99251$	$5.86868$	$[1, -1, 1, -340852403, 2421143808787]$	\(y^2+xy+y=x^3-x^2-340852403x+2421143808787\)	2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.1, 60.48.0-60.s.1.1, 129.8.0.?, $\ldots$	$[(9787, 145442)]$	$1$
189630.s2	189630eu3	189630.s	189630eu	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 43 \)	\( 2^{24} \cdot 3^{9} \cdot 5^{2} \cdot 7^{6} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$18060$	$96$	$1$	$6.498723932$	$1$		$1$	$7962624$	$2.716412$	$35198225176082067/18035507200$	$0.99251$	$4.90937$	$[1, -1, 0, -9032865, 10446912125]$	\(y^2+xy=x^3-x^2-9032865x+10446912125\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.2, 42.24.0-6.a.1.4, $\ldots$	$[(2455/2, 570755/2)]$	$1$
189630.ei4	189630bs1	189630.ei	189630bs	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 43 \)	\( 2^{24} \cdot 3^{3} \cdot 5^{2} \cdot 7^{6} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$18060$	$96$	$1$	$1.553651512$	$1$		$3$	$2654208$	$2.167107$	$35198225176082067/18035507200$	$0.99251$	$4.36697$	$[1, -1, 1, -1003652, -386588121]$	\(y^2+xy+y=x^3-x^2-1003652x-386588121\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.1, 42.24.0-6.a.1.3, $\ldots$	$[(-571, -3)]$	$1$
468270.bd4	468270bd1	468270.bd	468270bd	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 43 \)	\( 2^{24} \cdot 3^{3} \cdot 5^{2} \cdot 11^{6} \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$28380$	$96$	$1$	$1$	$1$		$1$	$13271040$	$2.393097$	$35198225176082067/18035507200$	$0.99251$	$4.27233$	$[1, -1, 0, -2478405, -1500496299]$	\(y^2+xy=x^3-x^2-2478405x-1500496299\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 33.8.0-3.a.1.2, 60.24.0.s.1, $\ldots$	$[ ]$	$1$
468270.ed2	468270ed3	468270.ed	468270ed	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 43 \)	\( 2^{24} \cdot 3^{9} \cdot 5^{2} \cdot 11^{6} \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$28380$	$96$	$1$	$1$	$1$		$1$	$39813120$	$2.942402$	$35198225176082067/18035507200$	$0.99251$	$4.77718$	$[1, -1, 1, -22305647, 40535705719]$	\(y^2+xy+y=x^3-x^2-22305647x+40535705719\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 33.8.0-3.a.1.1, 60.24.0.s.1, $\ldots$	$[ ]$	$1$

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