Elliptic curve search results

Results (16 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
9660.e2	9660d2	9660.e	9660d	$2$	$2$	\( 2^{2} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( - 2^{8} \cdot 3^{2} \cdot 5 \cdot 7^{8} \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1380$	$12$	$0$	$4.219046056$	$1$		$3$	$33792$	$1.489256$	$-72646456083703504/137231087805$	$0.93583$	$4.83588$	$[0, 1, 0, -55196, -5017836]$	\(y^2=x^3+x^2-55196x-5017836\)	2.3.0.a.1, 20.6.0.a.1, 276.6.0.?, 1380.12.0.?	$[(4387, 290178)]$
28980.i2	28980h2	28980.i	28980h	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( - 2^{8} \cdot 3^{8} \cdot 5 \cdot 7^{8} \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1380$	$12$	$0$	$0.340851919$	$1$		$11$	$270336$	$2.038563$	$-72646456083703504/137231087805$	$0.93583$	$4.96036$	$[0, 0, 0, -496767, 134984806]$	\(y^2=x^3-496767x+134984806\)	2.3.0.a.1, 20.6.0.a.1, 276.6.0.?, 1380.12.0.?	$[(215, 6174)]$
38640.i2	38640bc2	38640.i	38640bc	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( - 2^{8} \cdot 3^{2} \cdot 5 \cdot 7^{8} \cdot 23^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1380$	$12$	$0$	$1$	$1$		$1$	$135168$	$1.489256$	$-72646456083703504/137231087805$	$0.93583$	$4.20116$	$[0, -1, 0, -55196, 5017836]$	\(y^2=x^3-x^2-55196x+5017836\)	2.3.0.a.1, 20.6.0.a.1, 276.6.0.?, 1380.12.0.?	$[]$
48300.e2	48300a2	48300.e	48300a	$2$	$2$	\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 23 \)	\( - 2^{8} \cdot 3^{2} \cdot 5^{7} \cdot 7^{8} \cdot 23^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1380$	$12$	$0$	$1$	$1$		$1$	$811008$	$2.293976$	$-72646456083703504/137231087805$	$0.93583$	$5.00960$	$[0, -1, 0, -1379908, -624469688]$	\(y^2=x^3-x^2-1379908x-624469688\)	2.3.0.a.1, 20.6.0.a.1, 276.6.0.?, 1380.12.0.?	$[]$
67620.o2	67620p2	67620.o	67620p	$2$	$2$	\( 2^{2} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \)	\( - 2^{8} \cdot 3^{2} \cdot 5 \cdot 7^{14} \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1380$	$12$	$0$	$5.533853638$	$1$		$1$	$1622016$	$2.462212$	$-72646456083703504/137231087805$	$0.93583$	$5.03956$	$[0, -1, 0, -2704620, 1715708520]$	\(y^2=x^3-x^2-2704620x+1715708520\)	2.3.0.a.1, 20.6.0.a.1, 276.6.0.?, 1380.12.0.?	$[(-3571/2, 467705/2)]$
115920.dh2	115920ei2	115920.dh	115920ei	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( - 2^{8} \cdot 3^{8} \cdot 5 \cdot 7^{8} \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1380$	$12$	$0$	$21.89805152$	$1$		$1$	$1081344$	$2.038563$	$-72646456083703504/137231087805$	$0.93583$	$4.37064$	$[0, 0, 0, -496767, -134984806]$	\(y^2=x^3-496767x-134984806\)	2.3.0.a.1, 20.6.0.a.1, 276.6.0.?, 1380.12.0.?	$[(37429292110/4741, 6442818385457772/4741)]$
144900.l2	144900be2	144900.l	144900be	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \)	\( - 2^{8} \cdot 3^{8} \cdot 5^{7} \cdot 7^{8} \cdot 23^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1380$	$12$	$0$	$1$	$1$		$1$	$6488064$	$2.843281$	$-72646456083703504/137231087805$	$0.93583$	$5.10116$	$[0, 0, 0, -12419175, 16873100750]$	\(y^2=x^3-12419175x+16873100750\)	2.3.0.a.1, 20.6.0.a.1, 276.6.0.?, 1380.12.0.?	$[]$
154560.dp2	154560gg2	154560.dp	154560gg	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( - 2^{14} \cdot 3^{2} \cdot 5 \cdot 7^{8} \cdot 23^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1380$	$12$	$0$	$1$	$1$		$1$	$1081344$	$1.835829$	$-72646456083703504/137231087805$	$0.93583$	$4.06180$	$[0, -1, 0, -220785, -39921903]$	\(y^2=x^3-x^2-220785x-39921903\)	2.3.0.a.1, 20.6.0.a.1, 276.6.0.?, 1380.12.0.?	$[]$
154560.gp2	154560s2	154560.gp	154560s	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( - 2^{14} \cdot 3^{2} \cdot 5 \cdot 7^{8} \cdot 23^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1380$	$12$	$0$	$1$	$1$		$1$	$1081344$	$1.835829$	$-72646456083703504/137231087805$	$0.93583$	$4.06180$	$[0, 1, 0, -220785, 39921903]$	\(y^2=x^3+x^2-220785x+39921903\)	2.3.0.a.1, 20.6.0.a.1, 276.6.0.?, 1380.12.0.?	$[]$
193200.go2	193200bg2	193200.go	193200bg	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 23 \)	\( - 2^{8} \cdot 3^{2} \cdot 5^{7} \cdot 7^{8} \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1380$	$12$	$0$	$2.101920081$	$1$		$3$	$3244032$	$2.293976$	$-72646456083703504/137231087805$	$0.93583$	$4.43902$	$[0, 1, 0, -1379908, 624469688]$	\(y^2=x^3+x^2-1379908x+624469688\)	2.3.0.a.1, 20.6.0.a.1, 276.6.0.?, 1380.12.0.?	$[(743, 3150)]$
202860.m2	202860bh2	202860.m	202860bh	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 23 \)	\( - 2^{8} \cdot 3^{8} \cdot 5 \cdot 7^{14} \cdot 23^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1380$	$12$	$0$	$1$	$1$		$1$	$12976128$	$3.011517$	$-72646456083703504/137231087805$	$0.93583$	$5.12591$	$[0, 0, 0, -24341583, -46299788458]$	\(y^2=x^3-24341583x-46299788458\)	2.3.0.a.1, 20.6.0.a.1, 276.6.0.?, 1380.12.0.?	$[]$
222180.u2	222180f2	222180.u	222180f	$2$	$2$	\( 2^{2} \cdot 3 \cdot 5 \cdot 7 \cdot 23^{2} \)	\( - 2^{8} \cdot 3^{2} \cdot 5 \cdot 7^{8} \cdot 23^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1380$	$12$	$0$	$21.05113864$	$1$		$1$	$17842176$	$3.057003$	$-72646456083703504/137231087805$	$0.93583$	$5.13236$	$[0, 1, 0, -29198860, 60818420180]$	\(y^2=x^3+x^2-29198860x+60818420180\)	2.3.0.a.1, 20.6.0.a.1, 276.6.0.?, 1380.12.0.?	$[(123369469367/6227, 2810475613908288/6227)]$
270480.ij2	270480ij2	270480.ij	270480ij	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \)	\( - 2^{8} \cdot 3^{2} \cdot 5 \cdot 7^{14} \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1380$	$12$	$0$	$41.11488020$	$1$		$1$	$6488064$	$2.462212$	$-72646456083703504/137231087805$	$0.93583$	$4.48101$	$[0, 1, 0, -2704620, -1715708520]$	\(y^2=x^3+x^2-2704620x-1715708520\)	2.3.0.a.1, 20.6.0.a.1, 276.6.0.?, 1380.12.0.?	$[(8701639316644369467/699263, 25668567181901717586339999228/699263)]$
338100.dj2	338100dj2	338100.dj	338100dj	$2$	$2$	\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 23 \)	\( - 2^{8} \cdot 3^{2} \cdot 5^{7} \cdot 7^{14} \cdot 23^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1380$	$12$	$0$	$1$	$1$		$1$	$38928384$	$3.266930$	$-72646456083703504/137231087805$	$0.93583$	$5.16098$	$[0, 1, 0, -67615508, 214328333988]$	\(y^2=x^3+x^2-67615508x+214328333988\)	2.3.0.a.1, 20.6.0.a.1, 276.6.0.?, 1380.12.0.?	$[]$
463680.bp2	463680bp2	463680.bp	463680bp	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( - 2^{14} \cdot 3^{8} \cdot 5 \cdot 7^{8} \cdot 23^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1380$	$12$	$0$	$1$	$1$		$1$	$8650752$	$2.385136$	$-72646456083703504/137231087805$	$0.93583$	$4.22500$	$[0, 0, 0, -1987068, -1079878448]$	\(y^2=x^3-1987068x-1079878448\)	2.3.0.a.1, 20.6.0.a.1, 276.6.0.?, 1380.12.0.?	$[]$
463680.fi2	463680fi2	463680.fi	463680fi	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( - 2^{14} \cdot 3^{8} \cdot 5 \cdot 7^{8} \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1380$	$12$	$0$	$0.526096313$	$1$		$9$	$8650752$	$2.385136$	$-72646456083703504/137231087805$	$0.93583$	$4.22500$	$[0, 0, 0, -1987068, 1079878448]$	\(y^2=x^3-1987068x+1079878448\)	2.3.0.a.1, 20.6.0.a.1, 276.6.0.?, 1380.12.0.?	$[(626, 9016)]$