Elliptic curve search results

Results (25 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
1045.a1	1045a2	1045.a	1045a	$2$	$2$	\( 5 \cdot 11 \cdot 19 \)	\( 5 \cdot 11^{2} \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$4180$	$12$	$0$	$0.342154040$	$1$		$8$	$128$	$-0.226044$	$3301293169/218405$	$0.81334$	$3.15280$	$[1, 0, 0, -31, 60]$	\(y^2+xy=x^3-31x+60\)	2.3.0.a.1, 10.6.0.a.1, 836.6.0.?, 4180.12.0.?	$[(1, 5)]$
5225.c1	5225a2	5225.c	5225a	$2$	$2$	\( 5^{2} \cdot 11 \cdot 19 \)	\( 5^{7} \cdot 11^{2} \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4180$	$12$	$0$	$2.285502678$	$1$		$2$	$3072$	$0.578675$	$3301293169/218405$	$0.81334$	$3.68805$	$[1, 1, 0, -775, 7500]$	\(y^2+xy=x^3+x^2-775x+7500\)	2.3.0.a.1, 10.6.0.a.1, 836.6.0.?, 4180.12.0.?	$[(-24, 126)]$
9405.j1	9405m2	9405.j	9405m	$2$	$2$	\( 3^{2} \cdot 5 \cdot 11 \cdot 19 \)	\( 3^{6} \cdot 5 \cdot 11^{2} \cdot 19^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4180$	$12$	$0$	$1$	$1$		$0$	$3072$	$0.323263$	$3301293169/218405$	$0.81334$	$3.11611$	$[1, -1, 0, -279, -1620]$	\(y^2+xy=x^3-x^2-279x-1620\)	2.3.0.a.1, 10.6.0.a.1, 836.6.0.?, 4180.12.0.?	$[]$
11495.d1	11495c2	11495.d	11495c	$2$	$2$	\( 5 \cdot 11^{2} \cdot 19 \)	\( 5 \cdot 11^{8} \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4180$	$12$	$0$	$2.523419464$	$1$		$0$	$15360$	$0.972904$	$3301293169/218405$	$0.81334$	$3.88302$	$[1, 0, 1, -3754, -83613]$	\(y^2+xy+y=x^3-3754x-83613\)	2.3.0.a.1, 10.6.0.a.1, 836.6.0.?, 4180.12.0.?	$[(315/2, 2343/2)]$
16720.bg1	16720z2	16720.bg	16720z	$2$	$2$	\( 2^{4} \cdot 5 \cdot 11 \cdot 19 \)	\( 2^{12} \cdot 5 \cdot 11^{2} \cdot 19^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4180$	$12$	$0$	$1$	$1$		$1$	$8192$	$0.467103$	$3301293169/218405$	$0.81334$	$3.10924$	$[0, -1, 0, -496, -3840]$	\(y^2=x^3-x^2-496x-3840\)	2.3.0.a.1, 10.6.0.a.1, 836.6.0.?, 4180.12.0.?	$[]$
19855.c1	19855a2	19855.c	19855a	$2$	$2$	\( 5 \cdot 11 \cdot 19^{2} \)	\( 5 \cdot 11^{2} \cdot 19^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4180$	$12$	$0$	$1$	$1$		$0$	$46080$	$1.246176$	$3301293169/218405$	$0.81334$	$3.99994$	$[1, 1, 0, -11198, -433933]$	\(y^2+xy=x^3+x^2-11198x-433933\)	2.3.0.a.1, 10.6.0.a.1, 836.6.0.?, 4180.12.0.?	$[]$
47025.r1	47025bc2	47025.r	47025bc	$2$	$2$	\( 3^{2} \cdot 5^{2} \cdot 11 \cdot 19 \)	\( 3^{6} \cdot 5^{7} \cdot 11^{2} \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4180$	$12$	$0$	$0.844139682$	$1$		$6$	$73728$	$1.127981$	$3301293169/218405$	$0.81334$	$3.54753$	$[1, -1, 1, -6980, -209478]$	\(y^2+xy+y=x^3-x^2-6980x-209478\)	2.3.0.a.1, 10.6.0.a.1, 836.6.0.?, 4180.12.0.?	$[(-46, 135)]$
51205.d1	51205o2	51205.d	51205o	$2$	$2$	\( 5 \cdot 7^{2} \cdot 11 \cdot 19 \)	\( 5 \cdot 7^{6} \cdot 11^{2} \cdot 19^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4180$	$12$	$0$	$1$	$1$		$0$	$46080$	$0.746911$	$3301293169/218405$	$0.81334$	$3.09796$	$[1, 1, 1, -1520, -22100]$	\(y^2+xy+y=x^3+x^2-1520x-22100\)	2.3.0.a.1, 10.6.0.a.1, 836.6.0.?, 4180.12.0.?	$[]$
57475.e1	57475j2	57475.e	57475j	$2$	$2$	\( 5^{2} \cdot 11^{2} \cdot 19 \)	\( 5^{7} \cdot 11^{8} \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4180$	$12$	$0$	$4.876498982$	$1$		$0$	$368640$	$1.777622$	$3301293169/218405$	$0.81334$	$4.19392$	$[1, 1, 1, -93838, -10451594]$	\(y^2+xy+y=x^3+x^2-93838x-10451594\)	2.3.0.a.1, 10.6.0.a.1, 836.6.0.?, 4180.12.0.?	$[(3211/3, 29776/3)]$
66880.w1	66880cz2	66880.w	66880cz	$2$	$2$	\( 2^{6} \cdot 5 \cdot 11 \cdot 19 \)	\( 2^{18} \cdot 5 \cdot 11^{2} \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4180$	$12$	$0$	$2.645830683$	$1$		$5$	$65536$	$0.813677$	$3301293169/218405$	$0.81334$	$3.09561$	$[0, 1, 0, -1985, -32705]$	\(y^2=x^3+x^2-1985x-32705\)	2.3.0.a.1, 10.6.0.a.1, 836.6.0.?, 4180.12.0.?	$[(-27, 44)]$
66880.dj1	66880bv2	66880.dj	66880bv	$2$	$2$	\( 2^{6} \cdot 5 \cdot 11 \cdot 19 \)	\( 2^{18} \cdot 5 \cdot 11^{2} \cdot 19^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4180$	$12$	$0$	$1$	$1$		$1$	$65536$	$0.813677$	$3301293169/218405$	$0.81334$	$3.09561$	$[0, -1, 0, -1985, 32705]$	\(y^2=x^3-x^2-1985x+32705\)	2.3.0.a.1, 10.6.0.a.1, 836.6.0.?, 4180.12.0.?	$[]$
83600.j1	83600cc2	83600.j	83600cc	$2$	$2$	\( 2^{4} \cdot 5^{2} \cdot 11 \cdot 19 \)	\( 2^{12} \cdot 5^{7} \cdot 11^{2} \cdot 19^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4180$	$12$	$0$	$1.971600993$	$1$		$19$	$196608$	$1.271822$	$3301293169/218405$	$0.81334$	$3.51974$	$[0, 1, 0, -12408, -504812]$	\(y^2=x^3+x^2-12408x-504812\)	2.3.0.a.1, 10.6.0.a.1, 836.6.0.?, 4180.12.0.?	$[(-58, 152), (-66, 176)]$
99275.b1	99275c2	99275.b	99275c	$2$	$2$	\( 5^{2} \cdot 11 \cdot 19^{2} \)	\( 5^{7} \cdot 11^{2} \cdot 19^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4180$	$12$	$0$	$1$	$1$		$0$	$1105920$	$2.050896$	$3301293169/218405$	$0.81334$	$4.27971$	$[1, 0, 0, -279963, -53681708]$	\(y^2+xy=x^3-279963x-53681708\)	2.3.0.a.1, 10.6.0.a.1, 836.6.0.?, 4180.12.0.?	$[]$
103455.n1	103455bf2	103455.n	103455bf	$2$	$2$	\( 3^{2} \cdot 5 \cdot 11^{2} \cdot 19 \)	\( 3^{6} \cdot 5 \cdot 11^{8} \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4180$	$12$	$0$	$2.148938808$	$1$		$6$	$368640$	$1.522211$	$3301293169/218405$	$0.81334$	$3.71499$	$[1, -1, 1, -33782, 2257544]$	\(y^2+xy+y=x^3-x^2-33782x+2257544\)	2.3.0.a.1, 10.6.0.a.1, 836.6.0.?, 4180.12.0.?	$[(84, 43)]$
150480.dq1	150480ba2	150480.dq	150480ba	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 19 \)	\( 2^{12} \cdot 3^{6} \cdot 5 \cdot 11^{2} \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4180$	$12$	$0$	$1.330189156$	$1$		$5$	$196608$	$1.016409$	$3301293169/218405$	$0.81334$	$3.08910$	$[0, 0, 0, -4467, 108146]$	\(y^2=x^3-4467x+108146\)	2.3.0.a.1, 10.6.0.a.1, 836.6.0.?, 4180.12.0.?	$[(65, 304)]$
176605.k1	176605j2	176605.k	176605j	$2$	$2$	\( 5 \cdot 11 \cdot 13^{2} \cdot 19 \)	\( 5 \cdot 11^{2} \cdot 13^{6} \cdot 19^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4180$	$12$	$0$	$1$	$1$		$0$	$245760$	$1.056431$	$3301293169/218405$	$0.81334$	$3.08792$	$[1, 0, 1, -5243, 137061]$	\(y^2+xy+y=x^3-5243x+137061\)	2.3.0.a.1, 10.6.0.a.1, 836.6.0.?, 4180.12.0.?	$[]$
178695.k1	178695e2	178695.k	178695e	$2$	$2$	\( 3^{2} \cdot 5 \cdot 11 \cdot 19^{2} \)	\( 3^{6} \cdot 5 \cdot 11^{2} \cdot 19^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4180$	$12$	$0$	$2.009072674$	$1$		$2$	$1105920$	$1.795483$	$3301293169/218405$	$0.81334$	$3.81826$	$[1, -1, 1, -100787, 11615406]$	\(y^2+xy+y=x^3-x^2-100787x+11615406\)	2.3.0.a.1, 10.6.0.a.1, 836.6.0.?, 4180.12.0.?	$[(-166, 4956)]$
183920.ch1	183920bo2	183920.ch	183920bo	$2$	$2$	\( 2^{4} \cdot 5 \cdot 11^{2} \cdot 19 \)	\( 2^{12} \cdot 5 \cdot 11^{8} \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4180$	$12$	$0$	$1.830385556$	$1$		$3$	$983040$	$1.666052$	$3301293169/218405$	$0.81334$	$3.68106$	$[0, -1, 0, -60056, 5351216]$	\(y^2=x^3-x^2-60056x+5351216\)	2.3.0.a.1, 10.6.0.a.1, 836.6.0.?, 4180.12.0.?	$[(268, 2904)]$
218405.c1	218405c2	218405.c	218405c	$2$	$2$	\( 5 \cdot 11^{2} \cdot 19^{2} \)	\( 5 \cdot 11^{8} \cdot 19^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4180$	$12$	$0$	$8.813646002$	$1$		$0$	$5529600$	$2.445122$	$3301293169/218405$	$0.81334$	$4.39004$	$[1, 1, 1, -1355021, 570789814]$	\(y^2+xy+y=x^3+x^2-1355021x+570789814\)	2.3.0.a.1, 10.6.0.a.1, 836.6.0.?, 4180.12.0.?	$[(259927/18, 3058939/18)]$
256025.x1	256025x2	256025.x	256025x	$2$	$2$	\( 5^{2} \cdot 7^{2} \cdot 11 \cdot 19 \)	\( 5^{7} \cdot 7^{6} \cdot 11^{2} \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4180$	$12$	$0$	$2.311914576$	$1$		$2$	$1105920$	$1.551630$	$3301293169/218405$	$0.81334$	$3.47302$	$[1, 0, 1, -38001, -2686477]$	\(y^2+xy+y=x^3-38001x-2686477\)	2.3.0.a.1, 10.6.0.a.1, 836.6.0.?, 4180.12.0.?	$[(417, 7141)]$
302005.e1	302005e2	302005.e	302005e	$2$	$2$	\( 5 \cdot 11 \cdot 17^{2} \cdot 19 \)	\( 5 \cdot 11^{2} \cdot 17^{6} \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4180$	$12$	$0$	$6.472431763$	$1$		$0$	$663552$	$1.190563$	$3301293169/218405$	$0.81334$	$3.08419$	$[1, 1, 1, -8965, 303742]$	\(y^2+xy+y=x^3+x^2-8965x+303742\)	2.3.0.a.1, 10.6.0.a.1, 836.6.0.?, 4180.12.0.?	$[(2104/7, -1693/7)]$
317680.m1	317680m2	317680.m	317680m	$2$	$2$	\( 2^{4} \cdot 5 \cdot 11 \cdot 19^{2} \)	\( 2^{12} \cdot 5 \cdot 11^{2} \cdot 19^{8} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4180$	$12$	$0$	$3.634648897$	$1$		$15$	$2949120$	$1.939323$	$3301293169/218405$	$0.81334$	$3.78110$	$[0, 1, 0, -179176, 27413364]$	\(y^2=x^3+x^2-179176x+27413364\)	2.3.0.a.1, 10.6.0.a.1, 836.6.0.?, 4180.12.0.?	$[(500, 7942), (1222, 40432)]$
334400.bh1	334400bh2	334400.bh	334400bh	$2$	$2$	\( 2^{6} \cdot 5^{2} \cdot 11 \cdot 19 \)	\( 2^{18} \cdot 5^{7} \cdot 11^{2} \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4180$	$12$	$0$	$1.724144237$	$1$		$5$	$1572864$	$1.618397$	$3301293169/218405$	$0.81334$	$3.46309$	$[0, 1, 0, -49633, 3988863]$	\(y^2=x^3+x^2-49633x+3988863\)	2.3.0.a.1, 10.6.0.a.1, 836.6.0.?, 4180.12.0.?	$[(98, 275)]$
334400.fv1	334400fv2	334400.fv	334400fv	$2$	$2$	\( 2^{6} \cdot 5^{2} \cdot 11 \cdot 19 \)	\( 2^{18} \cdot 5^{7} \cdot 11^{2} \cdot 19^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4180$	$12$	$0$	$1$	$1$		$1$	$1572864$	$1.618397$	$3301293169/218405$	$0.81334$	$3.46309$	$[0, -1, 0, -49633, -3988863]$	\(y^2=x^3-x^2-49633x-3988863\)	2.3.0.a.1, 10.6.0.a.1, 836.6.0.?, 4180.12.0.?	$[]$
460845.ch1	460845ch2	460845.ch	460845ch	$2$	$2$	\( 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \cdot 19 \)	\( 3^{6} \cdot 5 \cdot 7^{6} \cdot 11^{2} \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4180$	$12$	$0$	$1.879768687$	$1$		$4$	$1105920$	$1.296217$	$3301293169/218405$	$0.81334$	$3.08146$	$[1, -1, 0, -13680, 583015]$	\(y^2+xy=x^3-x^2-13680x+583015\)	2.3.0.a.1, 10.6.0.a.1, 836.6.0.?, 4180.12.0.?	$[(38, 323)]$

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