Elliptic curve search results

Results (17 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
4830.bi2	4830bh3	4830.bi	4830bh	$6$	$8$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 7^{4} \cdot 23^{4} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	4.24.0.6	2Cs	$19320$	$192$	$1$	$1$	$4$	$2$	$2$	$8192$	$1.030857$	$16840406336564161/604708416900$	$1.01659$	$4.40461$	$[1, 0, 0, -5340, -145908]$	\(y^2+xy=x^3-5340x-145908\)	2.6.0.a.1, 4.24.0-4.b.1.1, 56.48.0-56.i.1.1, 120.48.0.?, 184.48.0.?, $\ldots$	$[]$
14490.a2	14490l3	14490.a	14490l	$6$	$8$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{2} \cdot 3^{8} \cdot 5^{2} \cdot 7^{4} \cdot 23^{4} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.3	2Cs	$19320$	$192$	$1$	$0.620354046$	$1$		$16$	$65536$	$1.580162$	$16840406336564161/604708416900$	$1.01659$	$4.58754$	$[1, -1, 0, -48060, 3939516]$	\(y^2+xy=x^3-x^2-48060x+3939516\)	2.6.0.a.1, 4.12.0.b.1, 12.24.0-4.b.1.1, 40.24.0-4.b.1.6, 56.24.0.i.1, $\ldots$	$[(93, 471)]$
24150.t2	24150o4	24150.t	24150o	$6$	$8$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 23 \)	\( 2^{2} \cdot 3^{2} \cdot 5^{8} \cdot 7^{4} \cdot 23^{4} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.3	2Cs	$19320$	$192$	$1$	$0.912653033$	$1$		$12$	$196608$	$1.835575$	$16840406336564161/604708416900$	$1.01659$	$4.65904$	$[1, 1, 0, -133500, -18238500]$	\(y^2+xy=x^3+x^2-133500x-18238500\)	2.6.0.a.1, 4.12.0.b.1, 20.24.0-4.b.1.1, 24.24.0-4.b.1.6, 56.24.0.i.1, $\ldots$	$[(-201, 825)]$
33810.cc2	33810bz4	33810.cc	33810bz	$6$	$8$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \)	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 7^{10} \cdot 23^{4} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.14	2Cs	$19320$	$192$	$1$	$5.474739684$	$1$		$4$	$393216$	$2.003811$	$16840406336564161/604708416900$	$1.01659$	$4.70230$	$[1, 1, 1, -261661, 49784783]$	\(y^2+xy+y=x^3+x^2-261661x+49784783\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.10, 28.24.0-4.b.1.1, 56.48.0-56.i.1.10, $\ldots$	$[(379, 2098)]$
38640.bi2	38640cf4	38640.bi	38640cf	$6$	$8$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{14} \cdot 3^{2} \cdot 5^{2} \cdot 7^{4} \cdot 23^{4} \)	$1$	$\Z/2\Z\oplus\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.24.0.5	2Cs	$19320$	$192$	$1$	$2.769972589$	$1$		$15$	$196608$	$1.724003$	$16840406336564161/604708416900$	$1.01659$	$4.32495$	$[0, -1, 0, -85440, 9338112]$	\(y^2=x^3-x^2-85440x+9338112\)	2.6.0.a.1, 4.24.0-4.b.1.3, 56.48.0-56.i.1.9, 120.48.0.?, 184.48.0.?, $\ldots$	$[(-96, 4080)]$
72450.ed2	72450eh4	72450.ed	72450eh	$6$	$8$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \)	\( 2^{2} \cdot 3^{8} \cdot 5^{8} \cdot 7^{4} \cdot 23^{4} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.19	2Cs	$19320$	$192$	$1$	$1$	$1$		$2$	$1572864$	$2.384880$	$16840406336564161/604708416900$	$1.01659$	$4.79068$	$[1, -1, 1, -1201505, 491237997]$	\(y^2+xy+y=x^3-x^2-1201505x+491237997\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.6, 56.48.0-56.i.1.30, 60.24.0-4.b.1.1, $\ldots$	$[]$
101430.bq2	101430cn4	101430.bq	101430cn	$6$	$8$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 23 \)	\( 2^{2} \cdot 3^{8} \cdot 5^{2} \cdot 7^{10} \cdot 23^{4} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.3	2Cs	$19320$	$192$	$1$	$2.774876574$	$1$		$10$	$3145728$	$2.553116$	$16840406336564161/604708416900$	$1.01659$	$4.82598$	$[1, -1, 0, -2354949, -1346544095]$	\(y^2+xy=x^3-x^2-2354949x-1346544095\)	2.6.0.a.1, 4.12.0.b.1, 24.24.0-4.b.1.8, 40.24.0-4.b.1.2, 56.24.0.i.1, $\ldots$	$[(-880, 7055)]$
111090.cr2	111090cz4	111090.cr	111090cz	$6$	$8$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 23^{2} \)	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 7^{4} \cdot 23^{10} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.9	2Cs	$19320$	$192$	$1$	$7.875956122$	$1$		$4$	$4325376$	$2.598602$	$16840406336564161/604708416900$	$1.01659$	$4.83517$	$[1, 0, 0, -2824871, 1769612901]$	\(y^2+xy=x^3-2824871x+1769612901\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.3, 56.48.0-56.i.1.14, 92.24.0.?, $\ldots$	$[(25914, 4150083)]$
115920.cb2	115920dm4	115920.cb	115920dm	$6$	$8$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{14} \cdot 3^{8} \cdot 5^{2} \cdot 7^{4} \cdot 23^{4} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.3	2Cs	$19320$	$192$	$1$	$1$	$1$		$3$	$1572864$	$2.273308$	$16840406336564161/604708416900$	$1.01659$	$4.48277$	$[0, 0, 0, -768963, -251360062]$	\(y^2=x^3-768963x-251360062\)	2.6.0.a.1, 4.12.0.b.1, 12.24.0-4.b.1.3, 40.24.0-4.b.1.6, 56.24.0.i.1, $\ldots$	$[]$
154560.f2	154560hv4	154560.f	154560hv	$6$	$8$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{20} \cdot 3^{2} \cdot 5^{2} \cdot 7^{4} \cdot 23^{4} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.20	2Cs	$19320$	$192$	$1$	$6.315233447$	$1$		$5$	$1572864$	$2.070576$	$16840406336564161/604708416900$	$1.01659$	$4.17123$	$[0, -1, 0, -341761, -74363135]$	\(y^2=x^3-x^2-341761x-74363135\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.11, 56.48.0-56.i.1.11, 60.24.0-4.b.1.2, $\ldots$	$[(771, 10948)]$
154560.gd2	154560bs3	154560.gd	154560bs	$6$	$8$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{20} \cdot 3^{2} \cdot 5^{2} \cdot 7^{4} \cdot 23^{4} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.21	2Cs	$19320$	$192$	$1$	$1.906108843$	$1$		$9$	$1572864$	$2.070576$	$16840406336564161/604708416900$	$1.01659$	$4.17123$	$[0, 1, 0, -341761, 74363135]$	\(y^2=x^3+x^2-341761x+74363135\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.2, 56.48.0-56.i.1.3, 60.24.0-4.b.1.2, $\ldots$	$[(17, 8280)]$
169050.ee2	169050gt3	169050.ee	169050gt	$6$	$8$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 23 \)	\( 2^{2} \cdot 3^{2} \cdot 5^{8} \cdot 7^{10} \cdot 23^{4} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.3	2Cs	$19320$	$192$	$1$	$1$	$1$		$2$	$9437184$	$2.808529$	$16840406336564161/604708416900$	$1.01659$	$4.87580$	$[1, 0, 1, -6541526, 6236180948]$	\(y^2+xy+y=x^3-6541526x+6236180948\)	2.6.0.a.1, 4.12.0.b.1, 24.24.0-4.b.1.2, 40.24.0-4.b.1.8, 56.24.0.i.1, $\ldots$	$[]$
193200.dy2	193200cb3	193200.dy	193200cb	$6$	$8$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 23 \)	\( 2^{14} \cdot 3^{2} \cdot 5^{8} \cdot 7^{4} \cdot 23^{4} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.3	2Cs	$19320$	$192$	$1$	$4.949218233$	$1$		$5$	$4718592$	$2.528721$	$16840406336564161/604708416900$	$1.01659$	$4.54644$	$[0, 1, 0, -2136008, 1162991988]$	\(y^2=x^3+x^2-2136008x+1162991988\)	2.6.0.a.1, 4.12.0.b.1, 20.24.0-4.b.1.3, 24.24.0-4.b.1.6, 56.24.0.i.1, $\ldots$	$[(3364, 179046)]$
270480.fh2	270480fh4	270480.fh	270480fh	$6$	$8$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \)	\( 2^{14} \cdot 3^{2} \cdot 5^{2} \cdot 7^{10} \cdot 23^{4} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.9	2Cs	$19320$	$192$	$1$	$4.602081484$	$1$		$7$	$9437184$	$2.696957$	$16840406336564161/604708416900$	$1.01659$	$4.58555$	$[0, 1, 0, -4186576, -3194599276]$	\(y^2=x^3+x^2-4186576x-3194599276\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.3, 28.24.0-4.b.1.3, 56.48.0-56.i.1.2, $\ldots$	$[(3412, 149178)]$
333270.cq2	333270cq4	333270.cq	333270cq	$6$	$8$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23^{2} \)	\( 2^{2} \cdot 3^{8} \cdot 5^{2} \cdot 7^{4} \cdot 23^{10} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.3	2Cs	$19320$	$192$	$1$	$7.366615541$	$1$		$2$	$34603008$	$3.147911$	$16840406336564161/604708416900$	$1.01659$	$4.93581$	$[1, -1, 0, -25423839, -47779548327]$	\(y^2+xy=x^3-x^2-25423839x-47779548327\)	2.6.0.a.1, 4.12.0.b.1, 24.24.0-4.b.1.3, 40.24.0-4.b.1.2, 56.24.0.i.1, $\ldots$	$[(-28427/3, 898303/3)]$
463680.kp2	463680kp3	463680.kp	463680kp	$6$	$8$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{20} \cdot 3^{8} \cdot 5^{2} \cdot 7^{4} \cdot 23^{4} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.3	2Cs	$19320$	$192$	$1$	$1$	$1$		$3$	$12582912$	$2.619884$	$16840406336564161/604708416900$	$1.01659$	$4.32522$	$[0, 0, 0, -3075852, 2010880496]$	\(y^2=x^3-3075852x+2010880496\)	2.6.0.a.1, 4.12.0.b.1, 20.24.0-4.b.1.2, 24.24.0-4.b.1.11, 56.24.0.i.1, $\ldots$	$[]$
463680.lm2	463680lm4	463680.lm	463680lm	$6$	$8$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{20} \cdot 3^{8} \cdot 5^{2} \cdot 7^{4} \cdot 23^{4} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.3	2Cs	$19320$	$192$	$1$	$4.114676177$	$1$		$9$	$12582912$	$2.619884$	$16840406336564161/604708416900$	$1.01659$	$4.32522$	$[0, 0, 0, -3075852, -2010880496]$	\(y^2=x^3-3075852x-2010880496\)	2.6.0.a.1, 4.12.0.b.1, 20.24.0-4.b.1.2, 24.24.0-4.b.1.1, 56.24.0.i.1, $\ldots$	$[(-1107, 6125)]$