Elliptic curve search results

Results (28 matches)

 

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
759.a1	759a2	759.a	759a	$2$	$2$	\( 3 \cdot 11 \cdot 23 \)	\( 3^{5} \cdot 11^{4} \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$276$	$12$	$0$	$0.803536807$	$1$		$6$	$320$	$0.602487$	$209849322390625/1882056627$	$0.99362$	$4.97247$	$[1, 1, 1, -1238, -17152]$	\(y^2+xy+y=x^3+x^2-1238x-17152\)	2.3.0.a.1, 12.6.0.a.1, 92.6.0.?, 276.12.0.?	$[(-22, 5)]$
2277.a1	2277a2	2277.a	2277a	$2$	$2$	\( 3^{2} \cdot 11 \cdot 23 \)	\( 3^{11} \cdot 11^{4} \cdot 23^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$276$	$12$	$0$	$1$	$1$		$0$	$2560$	$1.151793$	$209849322390625/1882056627$	$0.99362$	$5.11849$	$[1, -1, 0, -11142, 451957]$	\(y^2+xy=x^3-x^2-11142x+451957\)	2.3.0.a.1, 12.6.0.a.1, 92.6.0.?, 276.12.0.?	$[]$
8349.c1	8349a2	8349.c	8349a	$2$	$2$	\( 3 \cdot 11^{2} \cdot 23 \)	\( 3^{5} \cdot 11^{10} \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$276$	$12$	$0$	$4.928290454$	$1$		$0$	$38400$	$1.801434$	$209849322390625/1882056627$	$0.99362$	$5.24533$	$[1, 1, 0, -149800, 22080073]$	\(y^2+xy=x^3+x^2-149800x+22080073\)	2.3.0.a.1, 12.6.0.a.1, 92.6.0.?, 276.12.0.?	$[(11712/7, -27077/7)]$
12144.bh1	12144bb2	12144.bh	12144bb	$2$	$2$	\( 2^{4} \cdot 3 \cdot 11 \cdot 23 \)	\( 2^{12} \cdot 3^{5} \cdot 11^{4} \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$276$	$12$	$0$	$0.807346962$	$1$		$7$	$20480$	$1.295633$	$209849322390625/1882056627$	$0.99362$	$4.39096$	$[0, 1, 0, -19808, 1058100]$	\(y^2=x^3+x^2-19808x+1058100\)	2.3.0.a.1, 12.6.0.a.1, 92.6.0.?, 276.12.0.?	$[(52, 414)]$
17457.a1	17457b2	17457.a	17457b	$2$	$2$	\( 3 \cdot 11 \cdot 23^{2} \)	\( 3^{5} \cdot 11^{4} \cdot 23^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$276$	$12$	$0$	$1$	$1$		$0$	$168960$	$2.170235$	$209849322390625/1882056627$	$0.99362$	$5.30232$	$[1, 1, 1, -654913, 202137092]$	\(y^2+xy+y=x^3+x^2-654913x+202137092\)	2.3.0.a.1, 12.6.0.a.1, 92.6.0.?, 276.12.0.?	$[]$
18975.v1	18975p2	18975.v	18975p	$2$	$2$	\( 3 \cdot 5^{2} \cdot 11 \cdot 23 \)	\( 3^{5} \cdot 5^{6} \cdot 11^{4} \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$276$	$12$	$0$	$1.076613603$	$1$		$4$	$46080$	$1.407206$	$209849322390625/1882056627$	$0.99362$	$4.32794$	$[1, 0, 1, -30951, -2082077]$	\(y^2+xy+y=x^3-30951x-2082077\)	2.3.0.a.1, 12.6.0.a.1, 92.6.0.?, 276.12.0.?	$[(-97, 147)]$
25047.b1	25047e2	25047.b	25047e	$2$	$2$	\( 3^{2} \cdot 11^{2} \cdot 23 \)	\( 3^{11} \cdot 11^{10} \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$276$	$12$	$0$	$5.810405377$	$1$		$0$	$307200$	$2.350739$	$209849322390625/1882056627$	$0.99362$	$5.32719$	$[1, -1, 1, -1348205, -597510174]$	\(y^2+xy+y=x^3-x^2-1348205x-597510174\)	2.3.0.a.1, 12.6.0.a.1, 92.6.0.?, 276.12.0.?	$[(-16744/5, 312414/5)]$
36432.bg1	36432cl2	36432.bg	36432cl	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 23 \)	\( 2^{12} \cdot 3^{11} \cdot 11^{4} \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$276$	$12$	$0$	$1.772766455$	$1$		$3$	$163840$	$1.844940$	$209849322390625/1882056627$	$0.99362$	$4.55926$	$[0, 0, 0, -178275, -28746974]$	\(y^2=x^3-178275x-28746974\)	2.3.0.a.1, 12.6.0.a.1, 92.6.0.?, 276.12.0.?	$[(599, 8910)]$
37191.c1	37191i2	37191.c	37191i	$2$	$2$	\( 3 \cdot 7^{2} \cdot 11 \cdot 23 \)	\( 3^{5} \cdot 7^{6} \cdot 11^{4} \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$276$	$12$	$0$	$0.355605741$	$1$		$10$	$115200$	$1.575441$	$209849322390625/1882056627$	$0.99362$	$4.24303$	$[1, 0, 0, -60663, 5701086]$	\(y^2+xy=x^3-60663x+5701086\)	2.3.0.a.1, 12.6.0.a.1, 92.6.0.?, 276.12.0.?	$[(-3, 2427)]$
48576.t1	48576cm2	48576.t	48576cm	$2$	$2$	\( 2^{6} \cdot 3 \cdot 11 \cdot 23 \)	\( 2^{18} \cdot 3^{5} \cdot 11^{4} \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$276$	$12$	$0$	$1.308338294$	$1$		$7$	$163840$	$1.642206$	$209849322390625/1882056627$	$0.99362$	$4.21226$	$[0, -1, 0, -79233, 8544033]$	\(y^2=x^3-x^2-79233x+8544033\)	2.3.0.a.1, 12.6.0.a.1, 92.6.0.?, 276.12.0.?	$[(197, 736)]$
48576.cu1	48576bd2	48576.cu	48576bd	$2$	$2$	\( 2^{6} \cdot 3 \cdot 11 \cdot 23 \)	\( 2^{18} \cdot 3^{5} \cdot 11^{4} \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$276$	$12$	$0$	$2.235772625$	$1$		$5$	$163840$	$1.642206$	$209849322390625/1882056627$	$0.99362$	$4.21226$	$[0, 1, 0, -79233, -8544033]$	\(y^2=x^3+x^2-79233x-8544033\)	2.3.0.a.1, 12.6.0.a.1, 92.6.0.?, 276.12.0.?	$[(-174, 69)]$
52371.e1	52371c2	52371.e	52371c	$2$	$2$	\( 3^{2} \cdot 11 \cdot 23^{2} \)	\( 3^{11} \cdot 11^{4} \cdot 23^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$276$	$12$	$0$	$1$	$4$	$2$	$0$	$1351680$	$2.719540$	$209849322390625/1882056627$	$0.99362$	$5.37286$	$[1, -1, 0, -5894217, -5463595706]$	\(y^2+xy=x^3-x^2-5894217x-5463595706\)	2.3.0.a.1, 12.6.0.a.1, 92.6.0.?, 276.12.0.?	$[]$
56925.m1	56925q2	56925.m	56925q	$2$	$2$	\( 3^{2} \cdot 5^{2} \cdot 11 \cdot 23 \)	\( 3^{11} \cdot 5^{6} \cdot 11^{4} \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$276$	$12$	$0$	$1.329512387$	$1$		$6$	$368640$	$1.956511$	$209849322390625/1882056627$	$0.99362$	$4.49571$	$[1, -1, 1, -278555, 56216072]$	\(y^2+xy+y=x^3-x^2-278555x+56216072\)	2.3.0.a.1, 12.6.0.a.1, 92.6.0.?, 276.12.0.?	$[(264, 880)]$
111573.bd1	111573p2	111573.bd	111573p	$2$	$2$	\( 3^{2} \cdot 7^{2} \cdot 11 \cdot 23 \)	\( 3^{11} \cdot 7^{6} \cdot 11^{4} \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$276$	$12$	$0$	$4.646654988$	$1$		$2$	$921600$	$2.124748$	$209849322390625/1882056627$	$0.99362$	$4.40911$	$[1, -1, 0, -545967, -153929322]$	\(y^2+xy=x^3-x^2-545967x-153929322\)	2.3.0.a.1, 12.6.0.a.1, 92.6.0.?, 276.12.0.?	$[(41022, 8286606)]$
128271.m1	128271e2	128271.m	128271e	$2$	$2$	\( 3 \cdot 11 \cdot 13^{2} \cdot 23 \)	\( 3^{5} \cdot 11^{4} \cdot 13^{6} \cdot 23^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$276$	$12$	$0$	$1$	$1$		$0$	$737280$	$1.884960$	$209849322390625/1882056627$	$0.99362$	$4.11218$	$[1, 1, 0, -209225, -36636426]$	\(y^2+xy=x^3+x^2-209225x-36636426\)	2.3.0.a.1, 12.6.0.a.1, 92.6.0.?, 276.12.0.?	$[]$
133584.dd1	133584v2	133584.dd	133584v	$2$	$2$	\( 2^{4} \cdot 3 \cdot 11^{2} \cdot 23 \)	\( 2^{12} \cdot 3^{5} \cdot 11^{10} \cdot 23^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$276$	$12$	$0$	$1$	$1$		$1$	$2457600$	$2.494579$	$209849322390625/1882056627$	$0.99362$	$4.71787$	$[0, 1, 0, -2396808, -1417918284]$	\(y^2=x^3+x^2-2396808x-1417918284\)	2.3.0.a.1, 12.6.0.a.1, 92.6.0.?, 276.12.0.?	$[]$
145728.dv1	145728fj2	145728.dv	145728fj	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 11 \cdot 23 \)	\( 2^{18} \cdot 3^{11} \cdot 11^{4} \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$276$	$12$	$0$	$1.070837435$	$1$		$7$	$1310720$	$2.191513$	$209849322390625/1882056627$	$0.99362$	$4.37745$	$[0, 0, 0, -713100, 229975792]$	\(y^2=x^3-713100x+229975792\)	2.3.0.a.1, 12.6.0.a.1, 92.6.0.?, 276.12.0.?	$[(584, 3564)]$
145728.ed1	145728bq2	145728.ed	145728bq	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 11 \cdot 23 \)	\( 2^{18} \cdot 3^{11} \cdot 11^{4} \cdot 23^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$276$	$12$	$0$	$1$	$1$		$1$	$1310720$	$2.191513$	$209849322390625/1882056627$	$0.99362$	$4.37745$	$[0, 0, 0, -713100, -229975792]$	\(y^2=x^3-713100x-229975792\)	2.3.0.a.1, 12.6.0.a.1, 92.6.0.?, 276.12.0.?	$[]$
192027.l1	192027p2	192027.l	192027p	$2$	$2$	\( 3 \cdot 11^{2} \cdot 23^{2} \)	\( 3^{5} \cdot 11^{10} \cdot 23^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$276$	$12$	$0$	$26.24787926$	$1$		$0$	$20275200$	$3.369183$	$209849322390625/1882056627$	$0.99362$	$5.43984$	$[1, 1, 0, -79244475, -269440692066]$	\(y^2+xy=x^3+x^2-79244475x-269440692066\)	2.3.0.a.1, 12.6.0.a.1, 92.6.0.?, 276.12.0.?	$[(-4239865566610/28549, 1114724382187023592/28549)]$
208725.y1	208725p2	208725.y	208725p	$2$	$2$	\( 3 \cdot 5^{2} \cdot 11^{2} \cdot 23 \)	\( 3^{5} \cdot 5^{6} \cdot 11^{10} \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$276$	$12$	$0$	$1.348246479$	$1$		$6$	$5529600$	$2.606152$	$209849322390625/1882056627$	$0.99362$	$4.65528$	$[1, 0, 0, -3745013, 2767499142]$	\(y^2+xy=x^3-3745013x+2767499142\)	2.3.0.a.1, 12.6.0.a.1, 92.6.0.?, 276.12.0.?	$[(703, 21610)]$
219351.f1	219351d2	219351.f	219351d	$2$	$2$	\( 3 \cdot 11 \cdot 17^{2} \cdot 23 \)	\( 3^{5} \cdot 11^{4} \cdot 17^{6} \cdot 23^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$276$	$12$	$0$	$1$	$1$		$0$	$1658880$	$2.019093$	$209849322390625/1882056627$	$0.99362$	$4.06366$	$[1, 0, 0, -357788, -81762387]$	\(y^2+xy=x^3-357788x-81762387\)	2.3.0.a.1, 12.6.0.a.1, 92.6.0.?, 276.12.0.?	$[]$
273999.h1	273999h2	273999.h	273999h	$2$	$2$	\( 3 \cdot 11 \cdot 19^{2} \cdot 23 \)	\( 3^{5} \cdot 11^{4} \cdot 19^{6} \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$276$	$12$	$0$	$1.350120617$	$1$		$4$	$2280960$	$2.074707$	$209849322390625/1882056627$	$0.99362$	$4.04477$	$[1, 0, 1, -446926, 114068945]$	\(y^2+xy+y=x^3-446926x+114068945\)	2.3.0.a.1, 12.6.0.a.1, 92.6.0.?, 276.12.0.?	$[(421, 548)]$
279312.cx1	279312cx2	279312.cx	279312cx	$2$	$2$	\( 2^{4} \cdot 3 \cdot 11 \cdot 23^{2} \)	\( 2^{12} \cdot 3^{5} \cdot 11^{4} \cdot 23^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$276$	$12$	$0$	$2.655618586$	$1$		$3$	$10813440$	$2.863380$	$209849322390625/1882056627$	$0.99362$	$4.79328$	$[0, 1, 0, -10478608, -12957731116]$	\(y^2=x^3+x^2-10478608x-12957731116\)	2.3.0.a.1, 12.6.0.a.1, 92.6.0.?, 276.12.0.?	$[(-1825, 9522)]$
303600.z1	303600z2	303600.z	303600z	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 23 \)	\( 2^{12} \cdot 3^{5} \cdot 5^{6} \cdot 11^{4} \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$276$	$12$	$0$	$2.803835904$	$1$		$5$	$2949120$	$2.100353$	$209849322390625/1882056627$	$0.99362$	$4.03628$	$[0, -1, 0, -495208, 133252912]$	\(y^2=x^3-x^2-495208x+133252912\)	2.3.0.a.1, 12.6.0.a.1, 92.6.0.?, 276.12.0.?	$[(498, 3146)]$
384813.g1	384813g2	384813.g	384813g	$2$	$2$	\( 3^{2} \cdot 11 \cdot 13^{2} \cdot 23 \)	\( 3^{11} \cdot 11^{4} \cdot 13^{6} \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$276$	$12$	$0$	$1.319132752$	$1$		$4$	$5898240$	$2.434265$	$209849322390625/1882056627$	$0.99362$	$4.27345$	$[1, -1, 1, -1883030, 987300474]$	\(y^2+xy+y=x^3-x^2-1883030x+987300474\)	2.3.0.a.1, 12.6.0.a.1, 92.6.0.?, 276.12.0.?	$[(413, 16524)]$
400752.cv1	400752cv2	400752.cv	400752cv	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 11^{2} \cdot 23 \)	\( 2^{12} \cdot 3^{11} \cdot 11^{10} \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$276$	$12$	$0$	$2.578170206$	$1$		$3$	$19660800$	$3.043888$	$209849322390625/1882056627$	$0.99362$	$4.82705$	$[0, 0, 0, -21571275, 38262222394]$	\(y^2=x^3-21571275x+38262222394\)	2.3.0.a.1, 12.6.0.a.1, 92.6.0.?, 276.12.0.?	$[(4103, 137214)]$
409101.bt1	409101bt2	409101.bt	409101bt	$2$	$2$	\( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \)	\( 3^{5} \cdot 7^{6} \cdot 11^{10} \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$276$	$12$	$0$	$7.003659307$	$1$		$2$	$13824000$	$2.774387$	$209849322390625/1882056627$	$0.99362$	$4.56907$	$[1, 0, 1, -7340226, -7595485691]$	\(y^2+xy+y=x^3-7340226x-7595485691\)	2.3.0.a.1, 12.6.0.a.1, 92.6.0.?, 276.12.0.?	$[(138269, 51335658)]$
436425.cd1	436425cd2	436425.cd	436425cd	$2$	$2$	\( 3 \cdot 5^{2} \cdot 11 \cdot 23^{2} \)	\( 3^{5} \cdot 5^{6} \cdot 11^{4} \cdot 23^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$276$	$12$	$0$	$2.888845620$	$1$		$0$	$24330240$	$2.974953$	$209849322390625/1882056627$	$0.99362$	$4.73165$	$[1, 0, 1, -16372826, 25299882173]$	\(y^2+xy+y=x^3-16372826x+25299882173\)	2.3.0.a.1, 12.6.0.a.1, 92.6.0.?, 276.12.0.?	$[(10779/2, 208223/2)]$