Elliptic curve search results

Results (30 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
1624.d1	1624b2	1624.d	1624b	$2$	$2$	\( 2^{3} \cdot 7 \cdot 29 \)	\( 2^{11} \cdot 7^{6} \cdot 29^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$56$	$12$	$0$	$1$	$1$		$1$	$3072$	$1.252478$	$2471097448795250/98942809$	$0.96359$	$5.82580$	$[0, -1, 0, -35768, 2615564]$	\(y^2=x^3-x^2-35768x+2615564\)	2.3.0.a.1, 8.6.0.b.1, 28.6.0.c.1, 56.12.0.k.1	$[]$
3248.b1	3248b2	3248.b	3248b	$2$	$2$	\( 2^{4} \cdot 7 \cdot 29 \)	\( 2^{11} \cdot 7^{6} \cdot 29^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$56$	$12$	$0$	$1.707384120$	$1$		$7$	$6144$	$1.252478$	$2471097448795250/98942809$	$0.96359$	$5.32639$	$[0, 1, 0, -35768, -2615564]$	\(y^2=x^3+x^2-35768x-2615564\)	2.3.0.a.1, 8.6.0.b.1, 28.6.0.c.1, 56.12.0.k.1	$[(-110, 4)]$
11368.c1	11368g2	11368.c	11368g	$2$	$2$	\( 2^{3} \cdot 7^{2} \cdot 29 \)	\( 2^{11} \cdot 7^{12} \cdot 29^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$56$	$12$	$0$	$1$	$1$		$1$	$147456$	$2.225433$	$2471097448795250/98942809$	$0.96359$	$5.86210$	$[0, 1, 0, -1752648, -893633168]$	\(y^2=x^3+x^2-1752648x-893633168\)	2.3.0.a.1, 8.6.0.b.1, 28.6.0.c.1, 56.12.0.k.1	$[]$
12992.g1	12992t2	12992.g	12992t	$2$	$2$	\( 2^{6} \cdot 7 \cdot 29 \)	\( 2^{17} \cdot 7^{6} \cdot 29^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$56$	$12$	$0$	$0.739877358$	$1$		$7$	$49152$	$1.599051$	$2471097448795250/98942809$	$0.96359$	$4.98591$	$[0, 1, 0, -143073, 20781439]$	\(y^2=x^3+x^2-143073x+20781439\)	2.3.0.a.1, 8.6.0.b.1, 28.6.0.c.1, 56.12.0.k.1	$[(210, 203)]$
12992.bj1	12992bc2	12992.bj	12992bc	$2$	$2$	\( 2^{6} \cdot 7 \cdot 29 \)	\( 2^{17} \cdot 7^{6} \cdot 29^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$56$	$12$	$0$	$12.93869914$	$1$		$1$	$49152$	$1.599051$	$2471097448795250/98942809$	$0.96359$	$4.98591$	$[0, -1, 0, -143073, -20781439]$	\(y^2=x^3-x^2-143073x-20781439\)	2.3.0.a.1, 8.6.0.b.1, 28.6.0.c.1, 56.12.0.k.1	$[(3616183/63, 6147077336/63)]$
14616.i1	14616o2	14616.i	14616o	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 29 \)	\( 2^{11} \cdot 3^{6} \cdot 7^{6} \cdot 29^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$56$	$12$	$0$	$4.410476127$	$1$		$1$	$73728$	$1.801783$	$2471097448795250/98942809$	$0.96359$	$5.17835$	$[0, 0, 0, -321915, -70298314]$	\(y^2=x^3-321915x-70298314\)	2.3.0.a.1, 8.6.0.b.1, 28.6.0.c.1, 56.12.0.k.1	$[(4625/2, 265727/2)]$
22736.bk1	22736j2	22736.bk	22736j	$2$	$2$	\( 2^{4} \cdot 7^{2} \cdot 29 \)	\( 2^{11} \cdot 7^{12} \cdot 29^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$56$	$12$	$0$	$1$	$1$		$1$	$294912$	$2.225433$	$2471097448795250/98942809$	$0.96359$	$5.45705$	$[0, -1, 0, -1752648, 893633168]$	\(y^2=x^3-x^2-1752648x+893633168\)	2.3.0.a.1, 8.6.0.b.1, 28.6.0.c.1, 56.12.0.k.1	$[]$
29232.q1	29232f2	29232.q	29232f	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 29 \)	\( 2^{11} \cdot 3^{6} \cdot 7^{6} \cdot 29^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$56$	$12$	$0$	$2.394419536$	$1$		$3$	$147456$	$1.801783$	$2471097448795250/98942809$	$0.96359$	$4.82929$	$[0, 0, 0, -321915, 70298314]$	\(y^2=x^3-321915x+70298314\)	2.3.0.a.1, 8.6.0.b.1, 28.6.0.c.1, 56.12.0.k.1	$[(330, 58)]$
40600.a1	40600m2	40600.a	40600m	$2$	$2$	\( 2^{3} \cdot 5^{2} \cdot 7 \cdot 29 \)	\( 2^{11} \cdot 5^{6} \cdot 7^{6} \cdot 29^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$56$	$12$	$0$	$1$	$1$		$1$	$442368$	$2.057198$	$2471097448795250/98942809$	$0.96359$	$4.96863$	$[0, 1, 0, -894208, 325157088]$	\(y^2=x^3+x^2-894208x+325157088\)	2.3.0.a.1, 8.6.0.b.1, 28.6.0.c.1, 56.12.0.k.1	$[]$
47096.c1	47096k2	47096.c	47096k	$2$	$2$	\( 2^{3} \cdot 7 \cdot 29^{2} \)	\( 2^{11} \cdot 7^{6} \cdot 29^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$56$	$12$	$0$	$7.231701662$	$1$		$3$	$2580480$	$2.936127$	$2471097448795250/98942809$	$0.96359$	$5.88031$	$[0, 1, 0, -30081168, 63490179616]$	\(y^2=x^3+x^2-30081168x+63490179616\)	2.3.0.a.1, 8.6.0.b.1, 28.6.0.c.1, 56.12.0.k.1	$[(-3149, 356370)]$
81200.cd1	81200j2	81200.cd	81200j	$2$	$2$	\( 2^{4} \cdot 5^{2} \cdot 7 \cdot 29 \)	\( 2^{11} \cdot 5^{6} \cdot 7^{6} \cdot 29^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$56$	$12$	$0$	$1$	$1$		$1$	$884736$	$2.057198$	$2471097448795250/98942809$	$0.96359$	$4.66397$	$[0, -1, 0, -894208, -325157088]$	\(y^2=x^3-x^2-894208x-325157088\)	2.3.0.a.1, 8.6.0.b.1, 28.6.0.c.1, 56.12.0.k.1	$[]$
90944.p1	90944eg2	90944.p	90944eg	$2$	$2$	\( 2^{6} \cdot 7^{2} \cdot 29 \)	\( 2^{17} \cdot 7^{12} \cdot 29^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$56$	$12$	$0$	$8.266377552$	$1$		$9$	$2359296$	$2.572006$	$2471097448795250/98942809$	$0.96359$	$5.15873$	$[0, 1, 0, -7010593, 7142054751]$	\(y^2=x^3+x^2-7010593x+7142054751\)	2.3.0.a.1, 8.6.0.b.1, 28.6.0.c.1, 56.12.0.k.1	$[(1269, 17052), (1514, 833)]$
90944.dz1	90944by2	90944.dz	90944by	$2$	$2$	\( 2^{6} \cdot 7^{2} \cdot 29 \)	\( 2^{17} \cdot 7^{12} \cdot 29^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$56$	$12$	$0$	$28.08147036$	$1$		$1$	$2359296$	$2.572006$	$2471097448795250/98942809$	$0.96359$	$5.15873$	$[0, -1, 0, -7010593, -7142054751]$	\(y^2=x^3-x^2-7010593x-7142054751\)	2.3.0.a.1, 8.6.0.b.1, 28.6.0.c.1, 56.12.0.k.1	$[(13192506183691/49245, 40618447714698824564/49245)]$
94192.bc1	94192c2	94192.bc	94192c	$2$	$2$	\( 2^{4} \cdot 7 \cdot 29^{2} \)	\( 2^{11} \cdot 7^{6} \cdot 29^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$56$	$12$	$0$	$76.85529263$	$1$		$1$	$5160960$	$2.936127$	$2471097448795250/98942809$	$0.96359$	$5.52443$	$[0, -1, 0, -30081168, -63490179616]$	\(y^2=x^3-x^2-30081168x-63490179616\)	2.3.0.a.1, 8.6.0.b.1, 28.6.0.c.1, 56.12.0.k.1	$[(66764311186517452724454137973212965/880561483428798, 17215098099125998848676098101356684972054022390381941/880561483428798)]$
102312.bb1	102312bk2	102312.bb	102312bk	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 7^{2} \cdot 29 \)	\( 2^{11} \cdot 3^{6} \cdot 7^{12} \cdot 29^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$56$	$12$	$0$	$7.058993358$	$1$		$1$	$3538944$	$2.774738$	$2471097448795250/98942809$	$0.96359$	$5.31695$	$[0, 0, 0, -15773835, 24112321702]$	\(y^2=x^3-15773835x+24112321702\)	2.3.0.a.1, 8.6.0.b.1, 28.6.0.c.1, 56.12.0.k.1	$[(11937/2, 481081/2)]$
116928.ci1	116928dg2	116928.ci	116928dg	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 29 \)	\( 2^{17} \cdot 3^{6} \cdot 7^{6} \cdot 29^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$56$	$12$	$0$	$1.840650330$	$1$		$3$	$1179648$	$2.148357$	$2471097448795250/98942809$	$0.96359$	$4.61198$	$[0, 0, 0, -1287660, 562386512]$	\(y^2=x^3-1287660x+562386512\)	2.3.0.a.1, 8.6.0.b.1, 28.6.0.c.1, 56.12.0.k.1	$[(602, 2320)]$
116928.di1	116928bx2	116928.di	116928bx	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 29 \)	\( 2^{17} \cdot 3^{6} \cdot 7^{6} \cdot 29^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$56$	$12$	$0$	$1.696850903$	$1$		$3$	$1179648$	$2.148357$	$2471097448795250/98942809$	$0.96359$	$4.61198$	$[0, 0, 0, -1287660, -562386512]$	\(y^2=x^3-1287660x-562386512\)	2.3.0.a.1, 8.6.0.b.1, 28.6.0.c.1, 56.12.0.k.1	$[(7286, 613872)]$
196504.be1	196504o2	196504.be	196504o	$2$	$2$	\( 2^{3} \cdot 7 \cdot 11^{2} \cdot 29 \)	\( 2^{11} \cdot 7^{6} \cdot 11^{6} \cdot 29^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$56$	$12$	$0$	$1$	$4$	$2$	$1$	$4423680$	$2.451424$	$2471097448795250/98942809$	$0.96359$	$4.71393$	$[0, -1, 0, -4327968, -3464003860]$	\(y^2=x^3-x^2-4327968x-3464003860\)	2.3.0.a.1, 8.6.0.b.1, 28.6.0.c.1, 56.12.0.k.1	$[]$
204624.cy1	204624et2	204624.cy	204624et	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 29 \)	\( 2^{11} \cdot 3^{6} \cdot 7^{12} \cdot 29^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$56$	$12$	$0$	$1$	$4$	$2$	$1$	$7077888$	$2.774738$	$2471097448795250/98942809$	$0.96359$	$5.01558$	$[0, 0, 0, -15773835, -24112321702]$	\(y^2=x^3-15773835x-24112321702\)	2.3.0.a.1, 8.6.0.b.1, 28.6.0.c.1, 56.12.0.k.1	$[]$
274456.w1	274456w2	274456.w	274456w	$2$	$2$	\( 2^{3} \cdot 7 \cdot 13^{2} \cdot 29 \)	\( 2^{11} \cdot 7^{6} \cdot 13^{6} \cdot 29^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$56$	$12$	$0$	$1$	$1$		$1$	$6635520$	$2.534950$	$2471097448795250/98942809$	$0.96359$	$4.66820$	$[0, -1, 0, -6044848, 5722214796]$	\(y^2=x^3-x^2-6044848x+5722214796\)	2.3.0.a.1, 8.6.0.b.1, 28.6.0.c.1, 56.12.0.k.1	$[]$
284200.cc1	284200cc2	284200.cc	284200cc	$2$	$2$	\( 2^{3} \cdot 5^{2} \cdot 7^{2} \cdot 29 \)	\( 2^{11} \cdot 5^{6} \cdot 7^{12} \cdot 29^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$56$	$12$	$0$	$52.27725839$	$1$		$1$	$21233664$	$3.030151$	$2471097448795250/98942809$	$0.96359$	$5.12845$	$[0, -1, 0, -43816208, -111616513588]$	\(y^2=x^3-x^2-43816208x-111616513588\)	2.3.0.a.1, 8.6.0.b.1, 28.6.0.c.1, 56.12.0.k.1	$[(4501113822469424587234573/23174820939, 4123418295173240105176247659638727964/23174820939)]$
324800.bd1	324800bd2	324800.bd	324800bd	$2$	$2$	\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 29 \)	\( 2^{17} \cdot 5^{6} \cdot 7^{6} \cdot 29^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$56$	$12$	$0$	$1$	$1$		$1$	$7077888$	$2.403770$	$2471097448795250/98942809$	$0.96359$	$4.48221$	$[0, 1, 0, -3576833, -2604833537]$	\(y^2=x^3+x^2-3576833x-2604833537\)	2.3.0.a.1, 8.6.0.b.1, 28.6.0.c.1, 56.12.0.k.1	$[]$
324800.gc1	324800gc2	324800.gc	324800gc	$2$	$2$	\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 29 \)	\( 2^{17} \cdot 5^{6} \cdot 7^{6} \cdot 29^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$56$	$12$	$0$	$1$	$1$		$1$	$7077888$	$2.403770$	$2471097448795250/98942809$	$0.96359$	$4.48221$	$[0, -1, 0, -3576833, 2604833537]$	\(y^2=x^3-x^2-3576833x+2604833537\)	2.3.0.a.1, 8.6.0.b.1, 28.6.0.c.1, 56.12.0.k.1	$[]$
329672.bb1	329672bb2	329672.bb	329672bb	$2$	$2$	\( 2^{3} \cdot 7^{2} \cdot 29^{2} \)	\( 2^{11} \cdot 7^{12} \cdot 29^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$56$	$12$	$0$	$244.5233255$	$1$		$1$	$123863040$	$3.909081$	$2471097448795250/98942809$	$0.96359$	$5.89864$	$[0, -1, 0, -1473977248, -21780079562772]$	\(y^2=x^3-x^2-1473977248x-21780079562772\)	2.3.0.a.1, 8.6.0.b.1, 28.6.0.c.1, 56.12.0.k.1	$[(302999860859716229706523497477209882605405145904890232959854910957439129003214605226452962553236769082991533/2614337749804209516427430848527422421361920364438878, 622260588758296077582458446443023795426296684813080767222728268105680708207236581533510483081832833394665473366929307966280481243747449364321088174991080052087/2614337749804209516427430848527422421361920364438878)]$
365400.r1	365400r2	365400.r	365400r	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 29 \)	\( 2^{11} \cdot 3^{6} \cdot 5^{6} \cdot 7^{6} \cdot 29^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$56$	$12$	$0$	$20.82517883$	$1$		$1$	$10616832$	$2.606503$	$2471097448795250/98942809$	$0.96359$	$4.63093$	$[0, 0, 0, -8047875, -8787289250]$	\(y^2=x^3-8047875x-8787289250\)	2.3.0.a.1, 8.6.0.b.1, 28.6.0.c.1, 56.12.0.k.1	$[(5931732241/138, 456829594783039/138)]$
376768.p1	376768p2	376768.p	376768p	$2$	$2$	\( 2^{6} \cdot 7 \cdot 29^{2} \)	\( 2^{17} \cdot 7^{6} \cdot 29^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$56$	$12$	$0$	$1$	$1$		$1$	$41287680$	$3.282700$	$2471097448795250/98942809$	$0.96359$	$5.25186$	$[0, 1, 0, -120324673, -508041761601]$	\(y^2=x^3+x^2-120324673x-508041761601\)	2.3.0.a.1, 8.6.0.b.1, 28.6.0.c.1, 56.12.0.k.1	$[]$
376768.db1	376768db2	376768.db	376768db	$2$	$2$	\( 2^{6} \cdot 7 \cdot 29^{2} \)	\( 2^{17} \cdot 7^{6} \cdot 29^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$56$	$12$	$0$	$1$	$1$		$1$	$41287680$	$3.282700$	$2471097448795250/98942809$	$0.96359$	$5.25186$	$[0, -1, 0, -120324673, 508041761601]$	\(y^2=x^3-x^2-120324673x+508041761601\)	2.3.0.a.1, 8.6.0.b.1, 28.6.0.c.1, 56.12.0.k.1	$[]$
393008.f1	393008f2	393008.f	393008f	$2$	$2$	\( 2^{4} \cdot 7 \cdot 11^{2} \cdot 29 \)	\( 2^{11} \cdot 7^{6} \cdot 11^{6} \cdot 29^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$56$	$12$	$0$	$3.284565588$	$1$		$13$	$8847360$	$2.451424$	$2471097448795250/98942809$	$0.96359$	$4.46028$	$[0, 1, 0, -4327968, 3464003860]$	\(y^2=x^3+x^2-4327968x+3464003860\)	2.3.0.a.1, 8.6.0.b.1, 28.6.0.c.1, 56.12.0.k.1	$[(1316, 7018), (-2193, 49126)]$
423864.bj1	423864bj2	423864.bj	423864bj	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 29^{2} \)	\( 2^{11} \cdot 3^{6} \cdot 7^{6} \cdot 29^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$56$	$12$	$0$	$40.78802494$	$1$		$1$	$61931520$	$3.485432$	$2471097448795250/98942809$	$0.96359$	$5.39188$	$[0, 0, 0, -270730515, -1714505580146]$	\(y^2=x^3-270730515x-1714505580146\)	2.3.0.a.1, 8.6.0.b.1, 28.6.0.c.1, 56.12.0.k.1	$[(-46297682091654687082/69813031, 2620418838660661337238979494/69813031)]$
469336.c1	469336c2	469336.c	469336c	$2$	$2$	\( 2^{3} \cdot 7 \cdot 17^{2} \cdot 29 \)	\( 2^{11} \cdot 7^{6} \cdot 17^{6} \cdot 29^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$56$	$12$	$0$	$1$	$1$		$1$	$15728640$	$2.669083$	$2471097448795250/98942809$	$0.96359$	$4.59966$	$[0, 1, 0, -10337048, 12788243824]$	\(y^2=x^3+x^2-10337048x+12788243824\)	2.3.0.a.1, 8.6.0.b.1, 28.6.0.c.1, 56.12.0.k.1	$[]$