Elliptic curve search results

Results (32 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
4200.f1	4200i1	4200.f	4200i	$1$	$1$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7 \)	\( - 2^{4} \cdot 3^{4} \cdot 5^{8} \cdot 7 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14$	$2$	$0$	$0.189535895$	$1$		$6$	$1920$	$0.575562$	$-6288640/567$	$0.83142$	$3.76936$	$[0, -1, 0, -708, 8037]$	\(y^2=x^3-x^2-708x+8037\)	14.2.0.a.1	$[(42, 225)]$
4200.r1	4200y1	4200.r	4200y	$1$	$1$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7 \)	\( - 2^{4} \cdot 3^{4} \cdot 5^{2} \cdot 7 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14$	$2$	$0$	$0.170300162$	$1$		$6$	$384$	$-0.229156$	$-6288640/567$	$0.83142$	$2.61188$	$[0, 1, 0, -28, 53]$	\(y^2=x^3+x^2-28x+53\)	14.2.0.a.1	$[(2, 3)]$
8400.bf1	8400h1	8400.bf	8400h	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \)	\( - 2^{4} \cdot 3^{4} \cdot 5^{2} \cdot 7 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14$	$2$	$0$	$1$	$1$		$0$	$768$	$-0.229156$	$-6288640/567$	$0.83142$	$2.41153$	$[0, -1, 0, -28, -53]$	\(y^2=x^3-x^2-28x-53\)	14.2.0.a.1	$[ ]$
8400.cc1	8400bd1	8400.cc	8400bd	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \)	\( - 2^{4} \cdot 3^{4} \cdot 5^{8} \cdot 7 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14$	$2$	$0$	$0.920904680$	$1$		$2$	$3840$	$0.575562$	$-6288640/567$	$0.83142$	$3.48021$	$[0, 1, 0, -708, -8037]$	\(y^2=x^3+x^2-708x-8037\)	14.2.0.a.1	$[(33, 75)]$
12600.y1	12600o1	12600.y	12600o	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \)	\( - 2^{4} \cdot 3^{10} \cdot 5^{2} \cdot 7 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14$	$2$	$0$	$1$	$1$		$0$	$3072$	$0.320150$	$-6288640/567$	$0.83142$	$3.00613$	$[0, 0, 0, -255, -1685]$	\(y^2=x^3-255x-1685\)	14.2.0.a.1	$[ ]$
12600.cf1	12600cn1	12600.cf	12600cn	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \)	\( - 2^{4} \cdot 3^{10} \cdot 5^{8} \cdot 7 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14$	$2$	$0$	$4.702691875$	$1$		$2$	$15360$	$1.124868$	$-6288640/567$	$0.83142$	$4.02892$	$[0, 0, 0, -6375, -210625]$	\(y^2=x^3-6375x-210625\)	14.2.0.a.1	$[(421, 8469)]$
25200.u1	25200cc1	25200.u	25200cc	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \)	\( - 2^{4} \cdot 3^{10} \cdot 5^{8} \cdot 7 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14$	$2$	$0$	$2.980170318$	$1$		$2$	$30720$	$1.124868$	$-6288640/567$	$0.83142$	$3.75336$	$[0, 0, 0, -6375, 210625]$	\(y^2=x^3-6375x+210625\)	14.2.0.a.1	$[(56, 171)]$
25200.dq1	25200bq1	25200.dq	25200bq	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \)	\( - 2^{4} \cdot 3^{10} \cdot 5^{2} \cdot 7 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14$	$2$	$0$	$1.509984401$	$1$		$2$	$6144$	$0.320150$	$-6288640/567$	$0.83142$	$2.80052$	$[0, 0, 0, -255, 1685]$	\(y^2=x^3-255x+1685\)	14.2.0.a.1	$[(4, 27)]$
29400.k1	29400cv1	29400.k	29400cv	$1$	$1$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \)	\( - 2^{4} \cdot 3^{4} \cdot 5^{2} \cdot 7^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14$	$2$	$0$	$0.616765934$	$1$		$6$	$18432$	$0.743799$	$-6288640/567$	$0.83142$	$3.25268$	$[0, -1, 0, -1388, -20943]$	\(y^2=x^3-x^2-1388x-20943\)	14.2.0.a.1	$[(68, 441)]$
29400.cv1	29400ch1	29400.cv	29400ch	$1$	$1$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \)	\( - 2^{4} \cdot 3^{4} \cdot 5^{8} \cdot 7^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14$	$2$	$0$	$1$	$1$		$0$	$92160$	$1.548517$	$-6288640/567$	$0.83142$	$4.19124$	$[0, 1, 0, -34708, -2687287]$	\(y^2=x^3+x^2-34708x-2687287\)	14.2.0.a.1	$[ ]$
33600.q1	33600fo1	33600.q	33600fo	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \)	\( - 2^{10} \cdot 3^{4} \cdot 5^{8} \cdot 7 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14$	$2$	$0$	$6.460834777$	$1$		$2$	$30720$	$0.922136$	$-6288640/567$	$0.83142$	$3.41634$	$[0, -1, 0, -2833, -61463]$	\(y^2=x^3-x^2-2833x-61463\)	14.2.0.a.1	$[(1888, 81981)]$
33600.by1	33600i1	33600.by	33600i	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \)	\( - 2^{10} \cdot 3^{4} \cdot 5^{2} \cdot 7 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14$	$2$	$0$	$0.988005934$	$1$		$2$	$6144$	$0.117417$	$-6288640/567$	$0.83142$	$2.48980$	$[0, -1, 0, -113, 537]$	\(y^2=x^3-x^2-113x+537\)	14.2.0.a.1	$[(8, 9)]$
33600.fq1	33600gr1	33600.fq	33600gr	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \)	\( - 2^{10} \cdot 3^{4} \cdot 5^{2} \cdot 7 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14$	$2$	$0$	$1$	$1$		$0$	$6144$	$0.117417$	$-6288640/567$	$0.83142$	$2.48980$	$[0, 1, 0, -113, -537]$	\(y^2=x^3+x^2-113x-537\)	14.2.0.a.1	$[ ]$
33600.ha1	33600dt1	33600.ha	33600dt	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \)	\( - 2^{10} \cdot 3^{4} \cdot 5^{8} \cdot 7 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14$	$2$	$0$	$1$	$1$		$0$	$30720$	$0.922136$	$-6288640/567$	$0.83142$	$3.41634$	$[0, 1, 0, -2833, 61463]$	\(y^2=x^3+x^2-2833x+61463\)	14.2.0.a.1	$[ ]$
58800.ea1	58800cf1	58800.ea	58800cf	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7^{2} \)	\( - 2^{4} \cdot 3^{4} \cdot 5^{8} \cdot 7^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14$	$2$	$0$	$1.296253984$	$1$		$2$	$184320$	$1.548517$	$-6288640/567$	$0.83142$	$3.92670$	$[0, -1, 0, -34708, 2687287]$	\(y^2=x^3-x^2-34708x+2687287\)	14.2.0.a.1	$[(103, 441)]$
58800.jd1	58800dg1	58800.jd	58800dg	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7^{2} \)	\( - 2^{4} \cdot 3^{4} \cdot 5^{2} \cdot 7^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14$	$2$	$0$	$0.898073517$	$1$		$2$	$36864$	$0.743799$	$-6288640/567$	$0.83142$	$3.04738$	$[0, 1, 0, -1388, 20943]$	\(y^2=x^3+x^2-1388x+20943\)	14.2.0.a.1	$[(37, 147)]$
88200.gy1	88200ck1	88200.gy	88200ck	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \)	\( - 2^{4} \cdot 3^{10} \cdot 5^{2} \cdot 7^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14$	$2$	$0$	$0.677380505$	$1$		$4$	$147456$	$1.293104$	$-6288640/567$	$0.83142$	$3.51773$	$[0, 0, 0, -12495, 577955]$	\(y^2=x^3-12495x+577955\)	14.2.0.a.1	$[(91, 441)]$
88200.gz1	88200ii1	88200.gz	88200ii	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \)	\( - 2^{4} \cdot 3^{10} \cdot 5^{8} \cdot 7^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14$	$2$	$0$	$1.001865021$	$1$		$4$	$737280$	$2.097824$	$-6288640/567$	$0.83142$	$4.36574$	$[0, 0, 0, -312375, 72244375]$	\(y^2=x^3-312375x+72244375\)	14.2.0.a.1	$[(-175, 11025)]$
100800.bp1	100800du1	100800.bp	100800du	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7 \)	\( - 2^{10} \cdot 3^{10} \cdot 5^{2} \cdot 7 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14$	$2$	$0$	$1$	$1$		$0$	$49152$	$0.666723$	$-6288640/567$	$0.83142$	$2.82453$	$[0, 0, 0, -1020, -13480]$	\(y^2=x^3-1020x-13480\)	14.2.0.a.1	$[ ]$
100800.gg1	100800ot1	100800.gg	100800ot	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7 \)	\( - 2^{10} \cdot 3^{10} \cdot 5^{8} \cdot 7 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14$	$2$	$0$	$1$	$1$		$0$	$245760$	$1.471443$	$-6288640/567$	$0.83142$	$3.66271$	$[0, 0, 0, -25500, 1685000]$	\(y^2=x^3-25500x+1685000\)	14.2.0.a.1	$[ ]$
100800.kc1	100800ic1	100800.kc	100800ic	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7 \)	\( - 2^{10} \cdot 3^{10} \cdot 5^{8} \cdot 7 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14$	$2$	$0$	$1$	$1$		$0$	$245760$	$1.471443$	$-6288640/567$	$0.83142$	$3.66271$	$[0, 0, 0, -25500, -1685000]$	\(y^2=x^3-25500x-1685000\)	14.2.0.a.1	$[ ]$
100800.oh1	100800nl1	100800.oh	100800nl	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7 \)	\( - 2^{10} \cdot 3^{10} \cdot 5^{2} \cdot 7 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14$	$2$	$0$	$1$	$1$		$0$	$49152$	$0.666723$	$-6288640/567$	$0.83142$	$2.82453$	$[0, 0, 0, -1020, 13480]$	\(y^2=x^3-1020x+13480\)	14.2.0.a.1	$[ ]$
176400.dx1	176400of1	176400.dx	176400of	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \)	\( - 2^{4} \cdot 3^{10} \cdot 5^{2} \cdot 7^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14$	$2$	$0$	$6.763628466$	$1$		$2$	$294912$	$1.293104$	$-6288640/567$	$0.83142$	$3.31589$	$[0, 0, 0, -12495, -577955]$	\(y^2=x^3-12495x-577955\)	14.2.0.a.1	$[(18116, 2438289)]$
176400.ee1	176400lp1	176400.ee	176400lp	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \)	\( - 2^{4} \cdot 3^{10} \cdot 5^{8} \cdot 7^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14$	$2$	$0$	$1$	$1$		$0$	$1474560$	$2.097824$	$-6288640/567$	$0.83142$	$4.11525$	$[0, 0, 0, -312375, -72244375]$	\(y^2=x^3-312375x-72244375\)	14.2.0.a.1	$[ ]$
235200.cw1	235200cw1	235200.cw	235200cw	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7^{2} \)	\( - 2^{10} \cdot 3^{4} \cdot 5^{2} \cdot 7^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14$	$2$	$0$	$1.760733636$	$1$		$2$	$294912$	$1.090372$	$-6288640/567$	$0.83142$	$3.04207$	$[0, -1, 0, -5553, 173097]$	\(y^2=x^3-x^2-5553x+173097\)	14.2.0.a.1	$[(-72, 441)]$
235200.ln1	235200ln1	235200.ln	235200ln	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7^{2} \)	\( - 2^{10} \cdot 3^{4} \cdot 5^{8} \cdot 7^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14$	$2$	$0$	$5.034359686$	$1$		$2$	$1474560$	$1.895092$	$-6288640/567$	$0.83142$	$3.82283$	$[0, -1, 0, -138833, -21359463]$	\(y^2=x^3-x^2-138833x-21359463\)	14.2.0.a.1	$[(3008, 163611)]$
235200.rm1	235200rm1	235200.rm	235200rm	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7^{2} \)	\( - 2^{10} \cdot 3^{4} \cdot 5^{8} \cdot 7^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14$	$2$	$0$	$0.433065752$	$1$		$4$	$1474560$	$1.895092$	$-6288640/567$	$0.83142$	$3.82283$	$[0, 1, 0, -138833, 21359463]$	\(y^2=x^3+x^2-138833x+21359463\)	14.2.0.a.1	$[(58, 3675)]$
235200.bad1	235200bad1	235200.bad	235200bad	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7^{2} \)	\( - 2^{10} \cdot 3^{4} \cdot 5^{2} \cdot 7^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14$	$2$	$0$	$2.530427852$	$1$		$2$	$294912$	$1.090372$	$-6288640/567$	$0.83142$	$3.04207$	$[0, 1, 0, -5553, -173097]$	\(y^2=x^3+x^2-5553x-173097\)	14.2.0.a.1	$[(282, 4557)]$
705600.ke1	-	705600.ke	-	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \)	\( - 2^{10} \cdot 3^{10} \cdot 5^{8} \cdot 7^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14$	$2$	$0$	$1$	$1$		$0$	$11796480$	$2.444397$	$-6288640/567$	$0.83142$	$4.00044$	$[0, 0, 0, -1249500, 577955000]$	\(y^2=x^3-1249500x+577955000\)	14.2.0.a.1	$[ ]$
705600.lh1	-	705600.lh	-	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \)	\( - 2^{10} \cdot 3^{10} \cdot 5^{2} \cdot 7^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14$	$2$	$0$	$2.437052387$	$1$		$2$	$2359296$	$1.639679$	$-6288640/567$	$0.83142$	$3.28337$	$[0, 0, 0, -49980, 4623640]$	\(y^2=x^3-49980x+4623640\)	14.2.0.a.1	$[(-259, 441)]$
705600.brp1	-	705600.brp	-	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \)	\( - 2^{10} \cdot 3^{10} \cdot 5^{8} \cdot 7^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14$	$2$	$0$	$16.43174179$	$1$		$0$	$11796480$	$2.444397$	$-6288640/567$	$0.83142$	$4.00044$	$[0, 0, 0, -1249500, -577955000]$	\(y^2=x^3-1249500x-577955000\)	14.2.0.a.1	$[(384908069/355, 6944815638747/355)]$
705600.bss1	-	705600.bss	-	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \)	\( - 2^{10} \cdot 3^{10} \cdot 5^{2} \cdot 7^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14$	$2$	$0$	$1$	$1$		$0$	$2359296$	$1.639679$	$-6288640/567$	$0.83142$	$3.28337$	$[0, 0, 0, -49980, -4623640]$	\(y^2=x^3-49980x-4623640\)	14.2.0.a.1	$[ ]$

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