Cremona's table of elliptic curves

6762 = 2 · 3 · 7² · 23

Class	r	Atkin-Lehner	Eigenvalues
6762a (1 curve)	1	2+ 3+ 7+ 23+	2+ 3+ -3 7+ -2  3 -3  0
Curve Equation t Generators 6762a1 [1,1,0,-564,12384] 1 [20:-108:1]
6762b (4 curves)	0	2+ 3+ 7- 23+	2+ 3+  0 7-  0 -2  0 -2
Curve Equation t 6762b1 [1,1,0,-1740,-29952] 2 6762b2 [1,1,0,-28200,-1834524] 2 6762b3 [1,1,0,9285,-55971] 2 6762b4 [1,1,0,-37755,-498147] 2
6762c (2 curves)	0	2+ 3+ 7- 23+	2+ 3+  0 7- -3 -2  3 -2
Curve Equation t 6762c1 [1,1,0,-95,-1371] 1 6762c2 [1,1,0,850,33972] 1
6762d (1 curve)	0	2+ 3+ 7- 23+	2+ 3+  1 7-  2  1  0 -2
Curve Equation t 6762d1 [1,1,0,598,-6348] 1
6762e (2 curves)	1	2+ 3+ 7- 23-	2+ 3+  0 7- -2  6 -2  6
Curve Equation t Generators 6762e1 [1,1,0,-25,-39899] 2 [42:167:1] 6762e2 [1,1,0,-17665,-897203] 2 [-71:109:1]
6762f (4 curves)	1	2+ 3+ 7- 23-	2+ 3+  0 7-  6 -2  6 -2
Curve Equation t Generators 6762f1 [1,1,0,227580,-294201648] 2 [4424:293292:1] 6762f2 [1,1,0,-5487780,-4716747216] 2 [3765:165477:1] 6762f3 [1,1,0,-2054595,8084758221] 2 [-153174120:63035439177:681472] 6762f4 [1,1,0,-74308035,245321703117] 2 [378132:6988797:64]
6762g (2 curves)	1	2+ 3+ 7- 23-	2+ 3+ -2 7-  2 -2 -6  4
Curve Equation t Generators 6762g1 [1,1,0,-782261,265976985] 2 [167:11750:1] 6762g2 [1,1,0,-778831,268429435] 2 [169:11818:1]
6762h (2 curves)	1	2+ 3+ 7- 23-	2+ 3+ -2 7- -6  6  2 -4
Curve Equation t Generators 6762h1 [1,1,0,-2146,34420] 2 [13:88:1] 6762h2 [1,1,0,2334,164340] 2 [-1:403:1]
6762i (1 curve)	1	2+ 3+ 7- 23-	2+ 3+  3 7-  2 -7  4 -6
Curve Equation t Generators 6762i1 [1,1,0,-81,-363] 1 [13:25:1]
6762j (1 curve)	1	2+ 3+ 7- 23-	2+ 3+ -3 7- -5  0  4  0
Curve Equation t Generators 6762j1 [1,1,0,66,876] 1 [-7:15:1]
6762k (2 curves)	0	2+ 3- 7+ 23+	2+ 3-  0 7+ -3  2 -3  2
Curve Equation t 6762k1 [1,0,1,-4681,456236] 3 6762k2 [1,0,1,41624,-11527498] 1
6762l (1 curve)	1	2+ 3- 7+ 23-	2+ 3-  3 7+ -5  0 -4  0
Curve Equation t Generators 6762l1 [1,0,1,3208,-290818] 1 [230:3438:1]
6762m (1 curve)	1	2+ 3- 7- 23+	2+ 3- -1 7-  2 -1  0  2
Curve Equation t Generators 6762m1 [1,0,1,29276,2265218] 1 [4:1541:1]
6762n (2 curves)	1	2+ 3- 7- 23+	2+ 3-  2 7-  0 -4  0 -6
Curve Equation t Generators 6762n1 [1,0,1,16340,-1856662] 2 [88:470:1] 6762n2 [1,0,1,-163980,-22341014] 2 [-178:1191:1]
6762o (2 curves)	1	2+ 3- 7- 23+	2+ 3-  2 7- -6  2  0  0
Curve Equation t Generators 6762o1 [1,0,1,-75,-542] 2 [13:20:1] 6762o2 [1,0,1,-1545,-23474] 2 [160:1877:1]
6762p (1 curve)	1	2+ 3- 7- 23+	2+ 3-  3 7- -2 -3  3  0
Curve Equation t Generators 6762p1 [1,0,1,-12,-38] 1 [5:3:1]
6762q (1 curve)	1	2+ 3- 7- 23+	2+ 3- -3 7-  4 -3  0  0
Curve Equation t Generators 6762q1 [1,0,1,-251445,48748480] 1 [158:3522:1]
6762r (2 curves)	0	2+ 3- 7- 23-	2+ 3-  2 7-  2  2  6 -4
Curve Equation t 6762r1 [1,0,1,-15965,-777724] 2 6762r2 [1,0,1,-15895,-784864] 2
6762s (2 curves)	0	2+ 3- 7- 23-	2+ 3-  2 7- -6 -6 -2  4
Curve Equation t 6762s1 [1,0,1,-105180,-12121574] 2 6762s2 [1,0,1,114340,-56025574] 2
6762t (2 curves)	0	2+ 3- 7- 23-	2+ 3- -2 7- -4  4  4  2
Curve Equation t 6762t1 [1,0,1,-722482,-289233724] 2 6762t2 [1,0,1,-12262962,-16528997180] 2
6762u (1 curve)	0	2+ 3- 7- 23-	2+ 3- -3 7-  2  7 -4  6
Curve Equation t 6762u1 [1,0,1,-3995,112550] 1
6762v (2 curves)	0	2+ 3- 7- 23-	2+ 3-  4 7-  2 -2 -2  2
Curve Equation t 6762v1 [1,0,1,856,2594] 2 6762v2 [1,0,1,-3554,20234] 2
6762w (1 curve)	0	2- 3+ 7+ 23+	2- 3+ -3 7+  1 -6 -2 -2
Curve Equation t 6762w1 [1,1,1,-197,-3823] 1
6762x (1 curve)	1	2- 3+ 7+ 23-	2- 3+  1 7+ -3  2 -2 -2
Curve Equation t Generators 6762x1 [1,1,1,-5195,1255673] 1 [167:-2338:1]
6762y (2 curves)	1	2- 3+ 7- 23+	2- 3+  3 7-  0 -5  0 -8
Curve Equation t Generators 6762y1 [1,1,1,146,-2941] 1 [27:133:1] 6762y2 [1,1,1,-1324,84083] 1 [174:1967:8]
6762z (1 curve)	0	2- 3+ 7- 23-	2- 3+  0 7-  1  6 -5 -6
Curve Equation t 6762z1 [1,1,1,-43,-127] 1
6762ba (2 curves)	0	2- 3+ 7- 23-	2- 3+  0 7- -4  2 -2  6
Curve Equation t 6762ba1 [1,1,1,-20973,-1189917] 2 6762ba2 [1,1,1,-336533,-75283405] 2
6762bb (4 curves)	0	2- 3+ 7- 23-	2- 3+  2 7-  4 -2 -6  0
Curve Equation t 6762bb1 [1,1,1,-29352,3145113] 4 6762bb2 [1,1,1,-547772,155767961] 4 6762bb3 [1,1,1,-626662,107865953] 2 6762bb4 [1,1,1,-8763602,9981900641] 2
6762bc (1 curve)	0	2- 3+ 7- 23-	2- 3+  3 7-  2  5  4 -6
Curve Equation t 6762bc1 [1,1,1,568301,291869969] 1
6762bd (1 curve)	0	2- 3+ 7- 23-	2- 3+ -3 7-  4  3  4  0
Curve Equation t 6762bd1 [1,1,1,445703,-76671673] 1
6762be (1 curve)	0	2- 3+ 7- 23-	2- 3+ -4 7- -5 -2 -3 -6
Curve Equation t 6762be1 [1,1,1,-50,-28519] 1
6762bf (1 curve)	0	2- 3- 7+ 23-	2- 3-  0 7+  1 -6  5  6
Curve Equation t 6762bf1 [1,0,0,-2108,37176] 1
6762bg (1 curve)	0	2- 3- 7+ 23-	2- 3-  4 7+ -5  2  3  6
Curve Equation t 6762bg1 [1,0,0,-1,83] 1
6762bh (6 curves)	0	2- 3- 7- 23+	2- 3-  2 7- -4  2  6 -4
Curve Equation t 6762bh1 [1,0,0,6173,-381823] 2 6762bh2 [1,0,0,-56547,-4433535] 4 6762bh3 [1,0,0,-867987,-311320143] 2 6762bh4 [1,0,0,-248627,43394385] 4 6762bh5 [1,0,0,-3877567,2938562717] 4 6762bh6 [1,0,0,307033,209981253] 2
6762bi (4 curves)	0	2- 3- 7- 23+	2- 3- -2 7-  0  2 -2  8
Curve Equation t 6762bi1 [1,0,0,146,-652] 2 6762bi2 [1,0,0,-834,-6336] 4 6762bi3 [1,0,0,-12104,-513486] 2 6762bi4 [1,0,0,-5244,140958] 2
6762bj (1 curve)	0	2- 3- 7- 23+	2- 3-  3 7-  1  6  2  2
Curve Equation t 6762bj1 [1,0,0,-9654,1282266] 1
6762bk (2 curves)	1	2- 3- 7- 23-	2- 3-  0 7- -4 -2  2 -6
Curve Equation t Generators 6762bk1 [1,0,0,-428,3408] 2 [4:40:1] 6762bk2 [1,0,0,-6868,218504] 2 [46:-2:1]
6762bl (1 curve)	1	2- 3- 7- 23-	2- 3- -1 7-  0  1 -4 -4
Curve Equation t Generators 6762bl1 [1,0,0,-30136,2017952] 1 [116:-352:1]
6762bm (1 curve)	1	2- 3- 7- 23-	2- 3- -1 7- -3 -2  2  2
Curve Equation t Generators 6762bm1 [1,0,0,-106,-3676] 1 [68:-586:1]
6762bn (1 curve)	1	2- 3- 7- 23-	2- 3- -3 7-  2 -5 -4  6
Curve Equation t Generators 6762bn1 [1,0,0,11598,-849276] 1 [564:-13890:1]

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations