Elliptic curve search results

Results (23 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
916.a1	916c1	916.a	916c	$1$	$1$	\( 2^{2} \cdot 229 \)	\( 2^{4} \cdot 229 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$458$	$2$	$0$	$0.136468199$	$1$		$22$	$132$	$-0.624127$	$442368/229$	$0.76745$	$2.31268$	$[0, 0, 0, -4, 1]$	\(y^2=x^3-4x+1\)	458.2.0.?	$[(0, 1), (2, 1)]$
3664.l1	3664i1	3664.l	3664i	$1$	$1$	\( 2^{4} \cdot 229 \)	\( 2^{4} \cdot 229 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$458$	$2$	$0$	$1$	$1$		$0$	$528$	$-0.624127$	$442368/229$	$0.76745$	$1.92199$	$[0, 0, 0, -4, -1]$	\(y^2=x^3-4x-1\)	458.2.0.?	$[ ]$
8244.f1	8244c1	8244.f	8244c	$1$	$1$	\( 2^{2} \cdot 3^{2} \cdot 229 \)	\( 2^{4} \cdot 3^{6} \cdot 229 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$458$	$2$	$0$	$2.289745433$	$1$		$2$	$1848$	$-0.074821$	$442368/229$	$0.76745$	$2.48016$	$[0, 0, 0, -36, -27]$	\(y^2=x^3-36x-27\)	458.2.0.?	$[(7, 8)]$
14656.d1	14656bb1	14656.d	14656bb	$1$	$1$	\( 2^{6} \cdot 229 \)	\( 2^{10} \cdot 229 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$458$	$2$	$0$	$0.801029409$	$1$		$2$	$4224$	$-0.277554$	$442368/229$	$0.76745$	$2.07778$	$[0, 0, 0, -16, -8]$	\(y^2=x^3-16x-8\)	458.2.0.?	$[(-2, 4)]$
14656.bb1	14656n1	14656.bb	14656n	$1$	$1$	\( 2^{6} \cdot 229 \)	\( 2^{10} \cdot 229 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$458$	$2$	$0$	$1$	$1$		$0$	$4224$	$-0.277554$	$442368/229$	$0.76745$	$2.07778$	$[0, 0, 0, -16, 8]$	\(y^2=x^3-16x+8\)	458.2.0.?	$[ ]$
22900.h1	22900c1	22900.h	22900c	$1$	$1$	\( 2^{2} \cdot 5^{2} \cdot 229 \)	\( 2^{4} \cdot 5^{6} \cdot 229 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$458$	$2$	$0$	$1$	$4$	$2$	$0$	$14256$	$0.180592$	$442368/229$	$0.76745$	$2.53306$	$[0, 0, 0, -100, 125]$	\(y^2=x^3-100x+125\)	458.2.0.?	$[ ]$
32976.w1	32976q1	32976.w	32976q	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 229 \)	\( 2^{4} \cdot 3^{6} \cdot 229 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$458$	$2$	$0$	$3.577964775$	$1$		$0$	$7392$	$-0.074821$	$442368/229$	$0.76745$	$2.14967$	$[0, 0, 0, -36, 27]$	\(y^2=x^3-36x+27\)	458.2.0.?	$[(-23/2, 53/2)]$
44884.k1	44884j1	44884.k	44884j	$1$	$1$	\( 2^{2} \cdot 7^{2} \cdot 229 \)	\( 2^{4} \cdot 7^{6} \cdot 229 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$458$	$2$	$0$	$1$	$1$		$0$	$38016$	$0.348828$	$442368/229$	$0.76745$	$2.56239$	$[0, 0, 0, -196, -343]$	\(y^2=x^3-196x-343\)	458.2.0.?	$[ ]$
91600.a1	91600x1	91600.a	91600x	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 229 \)	\( 2^{4} \cdot 5^{6} \cdot 229 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$458$	$2$	$0$	$1$	$1$		$0$	$57024$	$0.180592$	$442368/229$	$0.76745$	$2.22571$	$[0, 0, 0, -100, -125]$	\(y^2=x^3-100x-125\)	458.2.0.?	$[ ]$
110836.a1	110836c1	110836.a	110836c	$1$	$1$	\( 2^{2} \cdot 11^{2} \cdot 229 \)	\( 2^{4} \cdot 11^{6} \cdot 229 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$458$	$2$	$0$	$3.728102353$	$1$		$2$	$178200$	$0.574821$	$442368/229$	$0.76745$	$2.59645$	$[0, 0, 0, -484, -1331]$	\(y^2=x^3-484x-1331\)	458.2.0.?	$[(31, 116)]$
131904.d1	131904bc1	131904.d	131904bc	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 229 \)	\( 2^{10} \cdot 3^{6} \cdot 229 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$458$	$2$	$0$	$1.782396073$	$1$		$2$	$59136$	$0.271753$	$442368/229$	$0.76745$	$2.24965$	$[0, 0, 0, -144, -216]$	\(y^2=x^3-144x-216\)	458.2.0.?	$[(-2, 8)]$
131904.k1	131904e1	131904.k	131904e	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 229 \)	\( 2^{10} \cdot 3^{6} \cdot 229 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$458$	$2$	$0$	$1$	$1$		$0$	$59136$	$0.271753$	$442368/229$	$0.76745$	$2.24965$	$[0, 0, 0, -144, 216]$	\(y^2=x^3-144x+216\)	458.2.0.?	$[ ]$
154804.a1	154804a1	154804.a	154804a	$1$	$1$	\( 2^{2} \cdot 13^{2} \cdot 229 \)	\( 2^{4} \cdot 13^{6} \cdot 229 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$458$	$2$	$0$	$3.239691428$	$1$		$2$	$285120$	$0.658347$	$442368/229$	$0.76745$	$2.60773$	$[0, 0, 0, -676, 2197]$	\(y^2=x^3-676x+2197\)	458.2.0.?	$[(3, 14)]$
179536.d1	179536b1	179536.d	179536b	$1$	$1$	\( 2^{4} \cdot 7^{2} \cdot 229 \)	\( 2^{4} \cdot 7^{6} \cdot 229 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$458$	$2$	$0$	$1$	$1$		$0$	$152064$	$0.348828$	$442368/229$	$0.76745$	$2.26878$	$[0, 0, 0, -196, 343]$	\(y^2=x^3-196x+343\)	458.2.0.?	$[ ]$
206100.u1	206100q1	206100.u	206100q	$1$	$1$	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 229 \)	\( 2^{4} \cdot 3^{6} \cdot 5^{6} \cdot 229 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$458$	$2$	$0$	$3.416310022$	$1$		$2$	$199584$	$0.729898$	$442368/229$	$0.76745$	$2.61691$	$[0, 0, 0, -900, -3375]$	\(y^2=x^3-900x-3375\)	458.2.0.?	$[(34, 73)]$
209764.a1	209764a1	209764.a	209764a	$1$	$1$	\( 2^{2} \cdot 229^{2} \)	\( 2^{4} \cdot 229^{7} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$458$	$2$	$0$	$14.11156152$	$1$		$2$	$6922080$	$2.092735$	$442368/229$	$0.76745$	$3.94776$	$[0, 0, 0, -209764, 12008989]$	\(y^2=x^3-209764x+12008989\)	458.2.0.?	$[(-687/2, 52441/2), (495, 5428)]$
264724.e1	264724e1	264724.e	264724e	$1$	$1$	\( 2^{2} \cdot 17^{2} \cdot 229 \)	\( 2^{4} \cdot 17^{6} \cdot 229 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$458$	$2$	$0$	$1$	$4$	$2$	$0$	$580800$	$0.792480$	$442368/229$	$0.76745$	$2.62459$	$[0, 0, 0, -1156, 4913]$	\(y^2=x^3-1156x+4913\)	458.2.0.?	$[ ]$
330676.e1	330676e1	330676.e	330676e	$1$	$1$	\( 2^{2} \cdot 19^{2} \cdot 229 \)	\( 2^{4} \cdot 19^{6} \cdot 229 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$458$	$2$	$0$	$7.934973596$	$1$		$0$	$891000$	$0.848092$	$442368/229$	$0.76745$	$2.63116$	$[0, 0, 0, -1444, -6859]$	\(y^2=x^3-1444x-6859\)	458.2.0.?	$[(2623/3, 133172/3)]$
366400.e1	366400e1	366400.e	366400e	$1$	$1$	\( 2^{6} \cdot 5^{2} \cdot 229 \)	\( 2^{10} \cdot 5^{6} \cdot 229 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$458$	$2$	$0$	$1$	$1$		$0$	$456192$	$0.527165$	$442368/229$	$0.76745$	$2.30949$	$[0, 0, 0, -400, 1000]$	\(y^2=x^3-400x+1000\)	458.2.0.?	$[ ]$
366400.ci1	366400ci1	366400.ci	366400ci	$1$	$1$	\( 2^{6} \cdot 5^{2} \cdot 229 \)	\( 2^{10} \cdot 5^{6} \cdot 229 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$458$	$2$	$0$	$4.578415031$	$1$		$0$	$456192$	$0.527165$	$442368/229$	$0.76745$	$2.30949$	$[0, 0, 0, -400, -1000]$	\(y^2=x^3-400x-1000\)	458.2.0.?	$[(-74/3, 1124/3)]$
403956.j1	403956j1	403956.j	403956j	$1$	$1$	\( 2^{2} \cdot 3^{2} \cdot 7^{2} \cdot 229 \)	\( 2^{4} \cdot 3^{6} \cdot 7^{6} \cdot 229 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$458$	$2$	$0$	$3.835890077$	$1$		$2$	$532224$	$0.898134$	$442368/229$	$0.76745$	$2.63688$	$[0, 0, 0, -1764, 9261]$	\(y^2=x^3-1764x+9261\)	458.2.0.?	$[(-5, 134)]$
443344.p1	443344p1	443344.p	443344p	$1$	$1$	\( 2^{4} \cdot 11^{2} \cdot 229 \)	\( 2^{4} \cdot 11^{6} \cdot 229 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$458$	$2$	$0$	$8.997861185$	$1$		$0$	$712800$	$0.574821$	$442368/229$	$0.76745$	$2.31961$	$[0, 0, 0, -484, 1331]$	\(y^2=x^3-484x+1331\)	458.2.0.?	$[(-1295/18, 329993/18)]$
484564.a1	484564a1	484564.a	484564a	$1$	$1$	\( 2^{2} \cdot 23^{2} \cdot 229 \)	\( 2^{4} \cdot 23^{6} \cdot 229 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$458$	$2$	$0$	$1$	$1$		$0$	$1568160$	$0.943620$	$442368/229$	$0.76745$	$2.64192$	$[0, 0, 0, -2116, -12167]$	\(y^2=x^3-2116x-12167\)	458.2.0.?	$[ ]$

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