Elliptic curve search results

Results (16 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	Manin constant
16456.e1	16456l1	16456.e	16456l	$1$	$1$	\( 2^{3} \cdot 11^{2} \cdot 17 \)	\( 2^{4} \cdot 11^{2} \cdot 17 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$34$	$2$	$0$	$0.861679813$	$1$		$8$	$960$	$-0.420130$	$76032/17$	$0.53884$	$1.93721$	$[0, 0, 0, -11, 11]$	\(y^2=x^3-11x+11\)	34.2.0.a.1	$[(1, 1), (5, 9)]$	$1$
16456.f1	16456a1	16456.f	16456a	$1$	$1$	\( 2^{3} \cdot 11^{2} \cdot 17 \)	\( 2^{4} \cdot 11^{8} \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$34$	$2$	$0$	$1$	$1$		$0$	$10560$	$0.778817$	$76032/17$	$0.53884$	$3.41915$	$[0, 0, 0, -1331, -14641]$	\(y^2=x^3-1331x-14641\)	34.2.0.a.1	$[ ]$	$1$
32912.g1	32912b1	32912.g	32912b	$1$	$1$	\( 2^{4} \cdot 11^{2} \cdot 17 \)	\( 2^{4} \cdot 11^{8} \cdot 17 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$34$	$2$	$0$	$2.262860046$	$1$		$4$	$21120$	$0.778817$	$76032/17$	$0.53884$	$3.19131$	$[0, 0, 0, -1331, 14641]$	\(y^2=x^3-1331x+14641\)	34.2.0.a.1	$[(0, 121), (-39/2, 1307/2)]$	$1$
32912.h1	32912k1	32912.h	32912k	$1$	$1$	\( 2^{4} \cdot 11^{2} \cdot 17 \)	\( 2^{4} \cdot 11^{2} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$34$	$2$	$0$	$1.761268379$	$1$		$2$	$1920$	$-0.420130$	$76032/17$	$0.53884$	$1.80812$	$[0, 0, 0, -11, -11]$	\(y^2=x^3-11x-11\)	34.2.0.a.1	$[(4, 3)]$	$1$
131648.bu1	131648z1	131648.bu	131648z	$1$	$1$	\( 2^{6} \cdot 11^{2} \cdot 17 \)	\( 2^{10} \cdot 11^{8} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$34$	$2$	$0$	$9.292736334$	$1$		$0$	$168960$	$1.125391$	$76032/17$	$0.53884$	$3.16881$	$[0, 0, 0, -5324, 117128]$	\(y^2=x^3-5324x+117128\)	34.2.0.a.1	$[(-5639/10, 487891/10)]$	$1$
131648.bv1	131648ci1	131648.bv	131648ci	$1$	$1$	\( 2^{6} \cdot 11^{2} \cdot 17 \)	\( 2^{10} \cdot 11^{2} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$34$	$2$	$0$	$3.065390672$	$1$		$0$	$15360$	$-0.073557$	$76032/17$	$0.53884$	$1.94829$	$[0, 0, 0, -44, 88]$	\(y^2=x^3-44x+88\)	34.2.0.a.1	$[(9/2, 5/2)]$	$1$
131648.bw1	131648cj1	131648.bw	131648cj	$1$	$1$	\( 2^{6} \cdot 11^{2} \cdot 17 \)	\( 2^{10} \cdot 11^{8} \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$34$	$2$	$0$	$1$	$1$		$0$	$168960$	$1.125391$	$76032/17$	$0.53884$	$3.16881$	$[0, 0, 0, -5324, -117128]$	\(y^2=x^3-5324x-117128\)	34.2.0.a.1	$[ ]$	$1$
131648.bx1	131648ba1	131648.bx	131648ba	$1$	$1$	\( 2^{6} \cdot 11^{2} \cdot 17 \)	\( 2^{10} \cdot 11^{2} \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$34$	$2$	$0$	$1$	$1$		$0$	$15360$	$-0.073557$	$76032/17$	$0.53884$	$1.94829$	$[0, 0, 0, -44, -88]$	\(y^2=x^3-44x-88\)	34.2.0.a.1	$[ ]$	$1$
148104.bx1	148104cc1	148104.bx	148104cc	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 11^{2} \cdot 17 \)	\( 2^{4} \cdot 3^{6} \cdot 11^{2} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$34$	$2$	$0$	$1.065111914$	$1$		$2$	$30720$	$0.129176$	$76032/17$	$0.53884$	$2.13335$	$[0, 0, 0, -99, -297]$	\(y^2=x^3-99x-297\)	34.2.0.a.1	$[(-6, 9)]$	$1$
148104.ce1	148104v1	148104.ce	148104v	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 11^{2} \cdot 17 \)	\( 2^{4} \cdot 3^{6} \cdot 11^{8} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$34$	$2$	$0$	$1.393151279$	$1$		$2$	$337920$	$1.328123$	$76032/17$	$0.53884$	$3.34180$	$[0, 0, 0, -11979, 395307]$	\(y^2=x^3-11979x+395307\)	34.2.0.a.1	$[(121, 847)]$	$1$
279752.bb1	279752bb1	279752.bb	279752bb	$1$	$1$	\( 2^{3} \cdot 11^{2} \cdot 17^{2} \)	\( 2^{4} \cdot 11^{8} \cdot 17^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$34$	$2$	$0$	$1$	$1$		$0$	$3041280$	$2.195423$	$76032/17$	$0.53884$	$4.00218$	$[0, 0, 0, -384659, -71931233]$	\(y^2=x^3-384659x-71931233\)	34.2.0.a.1	$[ ]$	$1$
279752.bc1	279752bc1	279752.bc	279752bc	$1$	$1$	\( 2^{3} \cdot 11^{2} \cdot 17^{2} \)	\( 2^{4} \cdot 11^{2} \cdot 17^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$34$	$2$	$0$	$1.296156402$	$1$		$4$	$276480$	$0.996476$	$76032/17$	$0.53884$	$2.85501$	$[0, 0, 0, -3179, 54043]$	\(y^2=x^3-3179x+54043\)	34.2.0.a.1	$[(-51, 289)]$	$1$
296208.el1	296208el1	296208.el	296208el	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 11^{2} \cdot 17 \)	\( 2^{4} \cdot 3^{6} \cdot 11^{8} \cdot 17 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$34$	$2$	$0$	$17.95573090$	$1$		$4$	$675840$	$1.328123$	$76032/17$	$0.53884$	$3.15794$	$[0, 0, 0, -11979, -395307]$	\(y^2=x^3-11979x-395307\)	34.2.0.a.1	$[(-84, 135), (124, 161)]$	$1$
296208.fd1	296208fd1	296208.fd	296208fd	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 11^{2} \cdot 17 \)	\( 2^{4} \cdot 3^{6} \cdot 11^{2} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$34$	$2$	$0$	$2.886172002$	$1$		$2$	$61440$	$0.129176$	$76032/17$	$0.53884$	$2.01598$	$[0, 0, 0, -99, 297]$	\(y^2=x^3-99x+297\)	34.2.0.a.1	$[(16, 53)]$	$1$
411400.ba1	411400ba1	411400.ba	411400ba	$1$	$1$	\( 2^{3} \cdot 5^{2} \cdot 11^{2} \cdot 17 \)	\( 2^{4} \cdot 5^{6} \cdot 11^{8} \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$34$	$2$	$0$	$1$	$1$		$0$	$1351680$	$1.583536$	$76032/17$	$0.53884$	$3.31478$	$[0, 0, 0, -33275, -1830125]$	\(y^2=x^3-33275x-1830125\)	34.2.0.a.1	$[ ]$	$1$
411400.bp1	411400bp1	411400.bp	411400bp	$1$	$1$	\( 2^{3} \cdot 5^{2} \cdot 11^{2} \cdot 17 \)	\( 2^{4} \cdot 5^{6} \cdot 11^{2} \cdot 17 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$34$	$2$	$0$	$2.652227423$	$1$		$6$	$122880$	$0.384589$	$76032/17$	$0.53884$	$2.20184$	$[0, 0, 0, -275, 1375]$	\(y^2=x^3-275x+1375\)	34.2.0.a.1	$[(15, 25), (-6, 53)]$	$1$

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