Elliptic curve search results

Results (18 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
15162.h1	15162h1	15162.h	15162h	$2$	$3$	\( 2 \cdot 3 \cdot 7 \cdot 19^{2} \)	\( - 2^{6} \cdot 3^{3} \cdot 7^{3} \cdot 19^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$1596$	$16$	$0$	$0.906193410$	$1$		$2$	$6480$	$0.293343$	$-549754417/592704$	$0.92084$	$2.81157$	$[1, 1, 0, -121, -923]$	\(y^2+xy=x^3+x^2-121x-923\)	3.4.0.a.1, 57.8.0-3.a.1.1, 84.8.0.?, 1596.16.0.?	$[(18, 47)]$
15162.bf1	15162bf1	15162.bf	15162bf	$2$	$3$	\( 2 \cdot 3 \cdot 7 \cdot 19^{2} \)	\( - 2^{6} \cdot 3^{3} \cdot 7^{3} \cdot 19^{8} \)	$0$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.1	3B.1.1	$84$	$16$	$0$	$1$	$1$		$2$	$123120$	$1.765562$	$-549754417/592704$	$0.92084$	$4.64677$	$[1, 0, 0, -43869, 5980401]$	\(y^2+xy=x^3-43869x+5980401\)	3.8.0-3.a.1.2, 84.16.0.?	$[]$
45486.b1	45486o1	45486.b	45486o	$2$	$3$	\( 2 \cdot 3^{2} \cdot 7 \cdot 19^{2} \)	\( - 2^{6} \cdot 3^{9} \cdot 7^{3} \cdot 19^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.2	3B.1.2	$84$	$16$	$0$	$1.082075675$	$1$		$2$	$984960$	$2.314869$	$-549754417/592704$	$0.92084$	$4.78539$	$[1, -1, 0, -394821, -161470827]$	\(y^2+xy=x^3-x^2-394821x-161470827\)	3.8.0-3.a.1.1, 84.16.0.?	$[(4242, 270795)]$
45486.x1	45486bo1	45486.x	45486bo	$2$	$3$	\( 2 \cdot 3^{2} \cdot 7 \cdot 19^{2} \)	\( - 2^{6} \cdot 3^{9} \cdot 7^{3} \cdot 19^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$1596$	$16$	$0$	$0.113193326$	$1$		$10$	$51840$	$0.842649$	$-549754417/592704$	$0.92084$	$3.13817$	$[1, -1, 1, -1094, 23829]$	\(y^2+xy+y=x^3-x^2-1094x+23829\)	3.4.0.a.1, 57.8.0-3.a.1.2, 84.8.0.?, 1596.16.0.?	$[(-13, 195)]$
106134.t1	106134bk1	106134.t	106134bk	$2$	$3$	\( 2 \cdot 3 \cdot 7^{2} \cdot 19^{2} \)	\( - 2^{6} \cdot 3^{3} \cdot 7^{9} \cdot 19^{2} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$1596$	$16$	$0$	$0.587878994$	$1$		$16$	$311040$	$1.266298$	$-549754417/592704$	$0.92084$	$3.34771$	$[1, 0, 1, -5955, 298750]$	\(y^2+xy+y=x^3-5955x+298750\)	3.4.0.a.1, 84.8.0.?, 228.8.0.?, 399.8.0.?, 1596.16.0.?	$[(263, 3984), (-73, 624)]$
106134.bn1	106134ca1	106134.bn	106134ca	$2$	$3$	\( 2 \cdot 3 \cdot 7^{2} \cdot 19^{2} \)	\( - 2^{6} \cdot 3^{3} \cdot 7^{9} \cdot 19^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$84$	$16$	$0$	$3.616248315$	$1$		$2$	$5909760$	$2.738518$	$-549754417/592704$	$0.92084$	$4.87432$	$[1, 1, 1, -2149582, -2053427125]$	\(y^2+xy+y=x^3+x^2-2149582x-2053427125\)	3.4.0.a.1, 12.8.0-3.a.1.4, 21.8.0-3.a.1.1, 84.16.0.?	$[(1861, 18963)]$
121296.br1	121296bt1	121296.br	121296bt	$2$	$3$	\( 2^{4} \cdot 3 \cdot 7 \cdot 19^{2} \)	\( - 2^{18} \cdot 3^{3} \cdot 7^{3} \cdot 19^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$84$	$16$	$0$	$1$	$25$	$5$	$0$	$2954880$	$2.458710$	$-549754417/592704$	$0.92084$	$4.53188$	$[0, -1, 0, -701904, -382745664]$	\(y^2=x^3-x^2-701904x-382745664\)	3.4.0.a.1, 12.8.0-3.a.1.1, 42.8.0-3.a.1.1, 84.16.0.?	$[]$
121296.dk1	121296ct1	121296.dk	121296ct	$2$	$3$	\( 2^{4} \cdot 3 \cdot 7 \cdot 19^{2} \)	\( - 2^{18} \cdot 3^{3} \cdot 7^{3} \cdot 19^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$1596$	$16$	$0$	$1$	$1$		$0$	$155520$	$0.986489$	$-549754417/592704$	$0.92084$	$3.02268$	$[0, 1, 0, -1944, 55188]$	\(y^2=x^3+x^2-1944x+55188\)	3.4.0.a.1, 84.8.0.?, 228.8.0.?, 798.8.0.?, 1596.16.0.?	$[]$
318402.cl1	318402cl1	318402.cl	318402cl	$2$	$3$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 19^{2} \)	\( - 2^{6} \cdot 3^{9} \cdot 7^{9} \cdot 19^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$84$	$16$	$0$	$3.236618750$	$1$		$2$	$47278080$	$3.287823$	$-549754417/592704$	$0.92084$	$4.97192$	$[1, -1, 0, -19346238, 55423186132]$	\(y^2+xy=x^3-x^2-19346238x+55423186132\)	3.4.0.a.1, 12.8.0-3.a.1.3, 21.8.0-3.a.1.2, 84.16.0.?	$[(-1468, 284738)]$
318402.eq1	318402eq1	318402.eq	318402eq	$2$	$3$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 19^{2} \)	\( - 2^{6} \cdot 3^{9} \cdot 7^{9} \cdot 19^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$1596$	$16$	$0$	$2.725149062$	$1$		$2$	$2488320$	$1.815603$	$-549754417/592704$	$0.92084$	$3.57767$	$[1, -1, 1, -53591, -8066257]$	\(y^2+xy+y=x^3-x^2-53591x-8066257\)	3.4.0.a.1, 84.8.0.?, 228.8.0.?, 399.8.0.?, 1596.16.0.?	$[(3327, 189730)]$
363888.f1	363888f1	363888.f	363888f	$2$	$3$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 19^{2} \)	\( - 2^{18} \cdot 3^{9} \cdot 7^{3} \cdot 19^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$1596$	$16$	$0$	$1$	$1$		$0$	$1244160$	$1.535795$	$-549754417/592704$	$0.92084$	$3.27813$	$[0, 0, 0, -17499, -1507574]$	\(y^2=x^3-17499x-1507574\)	3.4.0.a.1, 84.8.0.?, 228.8.0.?, 798.8.0.?, 1596.16.0.?	$[]$
363888.g1	363888g1	363888.g	363888g	$2$	$3$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 19^{2} \)	\( - 2^{18} \cdot 3^{9} \cdot 7^{3} \cdot 19^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$84$	$16$	$0$	$5.810431232$	$1$		$2$	$23639040$	$3.008015$	$-549754417/592704$	$0.92084$	$4.65784$	$[0, 0, 0, -6317139, 10340450066]$	\(y^2=x^3-6317139x+10340450066\)	3.4.0.a.1, 12.8.0-3.a.1.2, 42.8.0-3.a.1.2, 84.16.0.?	$[(-2681, 89478)]$
379050.f1	379050f1	379050.f	379050f	$2$	$3$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19^{2} \)	\( - 2^{6} \cdot 3^{3} \cdot 5^{6} \cdot 7^{3} \cdot 19^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$420$	$16$	$0$	$2.625993669$	$1$		$4$	$13296960$	$2.570282$	$-549754417/592704$	$0.92084$	$4.23411$	$[1, 1, 0, -1096725, 747550125]$	\(y^2+xy=x^3+x^2-1096725x+747550125\)	3.4.0.a.1, 15.8.0-3.a.1.2, 84.8.0.?, 420.16.0.?	$[(-1294, 2091)]$
379050.id1	379050id1	379050.id	379050id	$2$	$3$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19^{2} \)	\( - 2^{6} \cdot 3^{3} \cdot 5^{6} \cdot 7^{3} \cdot 19^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$7980$	$16$	$0$	$1$	$1$		$0$	$699840$	$1.098061$	$-549754417/592704$	$0.92084$	$2.85879$	$[1, 0, 0, -3038, -109308]$	\(y^2+xy=x^3-3038x-109308\)	3.4.0.a.1, 84.8.0.?, 285.8.0.?, 7980.16.0.?	$[]$
485184.j1	485184j1	485184.j	485184j	$2$	$3$	\( 2^{6} \cdot 3 \cdot 7 \cdot 19^{2} \)	\( - 2^{24} \cdot 3^{3} \cdot 7^{3} \cdot 19^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$3192$	$16$	$0$	$1.715279964$	$1$		$2$	$1244160$	$1.333063$	$-549754417/592704$	$0.92084$	$3.02028$	$[0, -1, 0, -7777, 449281]$	\(y^2=x^3-x^2-7777x+449281\)	3.4.0.a.1, 84.8.0.?, 456.8.0.?, 3192.16.0.?	$[(-19, 768)]$
485184.k1	485184k1	485184.k	485184k	$2$	$3$	\( 2^{6} \cdot 3 \cdot 7 \cdot 19^{2} \)	\( - 2^{24} \cdot 3^{3} \cdot 7^{3} \cdot 19^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$168$	$16$	$0$	$1$	$1$		$0$	$23639040$	$2.805283$	$-549754417/592704$	$0.92084$	$4.36967$	$[0, -1, 0, -2807617, 3064772929]$	\(y^2=x^3-x^2-2807617x+3064772929\)	3.4.0.a.1, 24.8.0-3.a.1.2, 84.8.0.?, 168.16.0.?	$[]$
485184.fd1	485184fd1	485184.fd	485184fd	$2$	$3$	\( 2^{6} \cdot 3 \cdot 7 \cdot 19^{2} \)	\( - 2^{24} \cdot 3^{3} \cdot 7^{3} \cdot 19^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$168$	$16$	$0$	$2.699403076$	$1$		$2$	$23639040$	$2.805283$	$-549754417/592704$	$0.92084$	$4.36967$	$[0, 1, 0, -2807617, -3064772929]$	\(y^2=x^3+x^2-2807617x-3064772929\)	3.4.0.a.1, 24.8.0-3.a.1.4, 84.8.0.?, 168.16.0.?	$[(34415, 6376704)]$
485184.fe1	485184fe1	485184.fe	485184fe	$2$	$3$	\( 2^{6} \cdot 3 \cdot 7 \cdot 19^{2} \)	\( - 2^{24} \cdot 3^{3} \cdot 7^{3} \cdot 19^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$3192$	$16$	$0$	$1$	$1$		$0$	$1244160$	$1.333063$	$-549754417/592704$	$0.92084$	$3.02028$	$[0, 1, 0, -7777, -449281]$	\(y^2=x^3+x^2-7777x-449281\)	3.4.0.a.1, 84.8.0.?, 456.8.0.?, 3192.16.0.?	$[]$