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
10830.o2	10830n1	10830.o	10830n	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \)	\( 2^{4} \cdot 3^{3} \cdot 5^{2} \cdot 19^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$0.394800038$	$1$		$11$	$3840$	$0.290778$	$403583419/10800$	$0.92758$	$3.08385$	$[1, 0, 1, -293, 1856]$	\(y^2+xy+y=x^3-293x+1856\)	2.3.0.a.1, 12.6.0.g.1, 76.6.0.?, 114.6.0.?, 228.12.0.?	$[(15, 22)]$
10830.x2	10830w1	10830.x	10830w	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \)	\( 2^{4} \cdot 3^{3} \cdot 5^{2} \cdot 19^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$5.807626556$	$1$		$1$	$72960$	$1.762997$	$403583419/10800$	$0.92758$	$4.98552$	$[1, 1, 1, -105600, -12943215]$	\(y^2+xy+y=x^3+x^2-105600x-12943215\)	2.3.0.a.1, 12.6.0.g.1, 76.6.0.?, 114.6.0.?, 228.12.0.?	$[(-1883/3, 8651/3)]$
32490.g2	32490h1	32490.g	32490h	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 19^{2} \)	\( 2^{4} \cdot 3^{9} \cdot 5^{2} \cdot 19^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$1$	$1$		$1$	$583680$	$2.312302$	$403583419/10800$	$0.92758$	$5.09280$	$[1, -1, 0, -950400, 348516400]$	\(y^2+xy=x^3-x^2-950400x+348516400\)	2.3.0.a.1, 12.6.0.g.1, 76.6.0.?, 114.6.0.?, 228.12.0.?	$[]$
32490.bi2	32490bi1	32490.bi	32490bi	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 19^{2} \)	\( 2^{4} \cdot 3^{9} \cdot 5^{2} \cdot 19^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$0.787886925$	$1$		$7$	$30720$	$0.840084$	$403583419/10800$	$0.92758$	$3.39224$	$[1, -1, 1, -2633, -50119]$	\(y^2+xy+y=x^3-x^2-2633x-50119\)	2.3.0.a.1, 12.6.0.g.1, 76.6.0.?, 114.6.0.?, 228.12.0.?	$[(81, 472)]$
54150.bb2	54150o1	54150.bb	54150o	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 19^{2} \)	\( 2^{4} \cdot 3^{3} \cdot 5^{8} \cdot 19^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$1$	$4$	$2$	$1$	$1751040$	$2.567715$	$403583419/10800$	$0.92758$	$5.13532$	$[1, 0, 1, -2640001, -1612621852]$	\(y^2+xy+y=x^3-2640001x-1612621852\)	2.3.0.a.1, 12.6.0.g.1, 76.6.0.?, 114.6.0.?, 228.12.0.?	$[]$
54150.bx2	54150bl1	54150.bx	54150bl	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 19^{2} \)	\( 2^{4} \cdot 3^{3} \cdot 5^{8} \cdot 19^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$1$	$1$		$1$	$92160$	$1.095497$	$403583419/10800$	$0.92758$	$3.51445$	$[1, 1, 1, -7313, 232031]$	\(y^2+xy+y=x^3+x^2-7313x+232031\)	2.3.0.a.1, 12.6.0.g.1, 76.6.0.?, 114.6.0.?, 228.12.0.?	$[]$
86640.bk2	86640cg1	86640.bk	86640cg	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 19^{2} \)	\( 2^{16} \cdot 3^{3} \cdot 5^{2} \cdot 19^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$2.708952233$	$1$		$3$	$92160$	$0.983925$	$403583419/10800$	$0.92758$	$3.25141$	$[0, -1, 0, -4680, -118800]$	\(y^2=x^3-x^2-4680x-118800\)	2.3.0.a.1, 12.6.0.g.1, 76.6.0.?, 114.6.0.?, 228.12.0.?	$[(-35, 30)]$
86640.dr2	86640du1	86640.dr	86640du	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 19^{2} \)	\( 2^{16} \cdot 3^{3} \cdot 5^{2} \cdot 19^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$1$	$1$		$1$	$1751040$	$2.456146$	$403583419/10800$	$0.92758$	$4.80527$	$[0, 1, 0, -1689600, 824986548]$	\(y^2=x^3+x^2-1689600x+824986548\)	2.3.0.a.1, 12.6.0.g.1, 76.6.0.?, 114.6.0.?, 228.12.0.?	$[]$
162450.y2	162450dr1	162450.y	162450dr	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19^{2} \)	\( 2^{4} \cdot 3^{9} \cdot 5^{8} \cdot 19^{3} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$7.742812741$	$1$		$13$	$737280$	$1.644802$	$403583419/10800$	$0.92758$	$3.74204$	$[1, -1, 0, -65817, -6330659]$	\(y^2+xy=x^3-x^2-65817x-6330659\)	2.3.0.a.1, 12.6.0.g.1, 76.6.0.?, 114.6.0.?, 228.12.0.?	$[(309, 1508), (518, 9659)]$
162450.dq2	162450be1	162450.dq	162450be	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19^{2} \)	\( 2^{4} \cdot 3^{9} \cdot 5^{8} \cdot 19^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$6.215539615$	$1$		$3$	$14008320$	$3.117023$	$403583419/10800$	$0.92758$	$5.21449$	$[1, -1, 1, -23760005, 43540789997]$	\(y^2+xy+y=x^3-x^2-23760005x+43540789997\)	2.3.0.a.1, 12.6.0.g.1, 76.6.0.?, 114.6.0.?, 228.12.0.?	$[(28509, 4733020)]$
259920.bw2	259920bw1	259920.bw	259920bw	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 19^{2} \)	\( 2^{16} \cdot 3^{9} \cdot 5^{2} \cdot 19^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$4.957487080$	$1$		$3$	$14008320$	$3.005451$	$403583419/10800$	$0.92758$	$4.91054$	$[0, 0, 0, -15206403, -22289843198]$	\(y^2=x^3-15206403x-22289843198\)	2.3.0.a.1, 12.6.0.g.1, 76.6.0.?, 114.6.0.?, 228.12.0.?	$[(-2233, 23058)]$
259920.by2	259920by1	259920.by	259920by	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 19^{2} \)	\( 2^{16} \cdot 3^{9} \cdot 5^{2} \cdot 19^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$1.751873854$	$1$		$7$	$737280$	$1.533232$	$403583419/10800$	$0.92758$	$3.49360$	$[0, 0, 0, -42123, 3249722]$	\(y^2=x^3-42123x+3249722\)	2.3.0.a.1, 12.6.0.g.1, 76.6.0.?, 114.6.0.?, 228.12.0.?	$[(101, 160)]$
346560.bh2	346560bh1	346560.bh	346560bh	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 19^{2} \)	\( 2^{22} \cdot 3^{3} \cdot 5^{2} \cdot 19^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$1.488470848$	$1$		$5$	$737280$	$1.330498$	$403583419/10800$	$0.92758$	$3.22409$	$[0, -1, 0, -18721, 969121]$	\(y^2=x^3-x^2-18721x+969121\)	2.3.0.a.1, 12.6.0.g.1, 76.6.0.?, 114.6.0.?, 228.12.0.?	$[(51, 380)]$
346560.bn2	346560bn1	346560.bn	346560bn	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 19^{2} \)	\( 2^{22} \cdot 3^{3} \cdot 5^{2} \cdot 19^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$1$	$1$		$1$	$14008320$	$2.802719$	$403583419/10800$	$0.92758$	$4.60908$	$[0, -1, 0, -6758401, 6606650785]$	\(y^2=x^3-x^2-6758401x+6606650785\)	2.3.0.a.1, 12.6.0.g.1, 76.6.0.?, 114.6.0.?, 228.12.0.?	$[]$
346560.ha2	346560ha1	346560.ha	346560ha	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 19^{2} \)	\( 2^{22} \cdot 3^{3} \cdot 5^{2} \cdot 19^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$1$	$1$		$1$	$14008320$	$2.802719$	$403583419/10800$	$0.92758$	$4.60908$	$[0, 1, 0, -6758401, -6606650785]$	\(y^2=x^3+x^2-6758401x-6606650785\)	2.3.0.a.1, 12.6.0.g.1, 76.6.0.?, 114.6.0.?, 228.12.0.?	$[]$
346560.he2	346560he1	346560.he	346560he	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 19^{2} \)	\( 2^{22} \cdot 3^{3} \cdot 5^{2} \cdot 19^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$2.000015190$	$1$		$5$	$737280$	$1.330498$	$403583419/10800$	$0.92758$	$3.22409$	$[0, 1, 0, -18721, -969121]$	\(y^2=x^3+x^2-18721x-969121\)	2.3.0.a.1, 12.6.0.g.1, 76.6.0.?, 114.6.0.?, 228.12.0.?	$[(-70, 57)]$
433200.cv2	433200cv1	433200.cv	433200cv	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19^{2} \)	\( 2^{16} \cdot 3^{3} \cdot 5^{8} \cdot 19^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$1$	$1$		$1$	$42024960$	$3.260864$	$403583419/10800$	$0.92758$	$4.95342$	$[0, -1, 0, -42240008, 103207798512]$	\(y^2=x^3-x^2-42240008x+103207798512\)	2.3.0.a.1, 12.6.0.g.1, 76.6.0.?, 114.6.0.?, 228.12.0.?	$[]$
433200.ie2	433200ie1	433200.ie	433200ie	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19^{2} \)	\( 2^{16} \cdot 3^{3} \cdot 5^{8} \cdot 19^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$2.798415044$	$1$		$5$	$2211840$	$1.788645$	$403583419/10800$	$0.92758$	$3.59225$	$[0, 1, 0, -117008, -15084012]$	\(y^2=x^3+x^2-117008x-15084012\)	2.3.0.a.1, 12.6.0.g.1, 76.6.0.?, 114.6.0.?, 228.12.0.?	$[(-197, 600)]$