Cremona's table of elliptic curves

73689 = 3 · 7 · 11² · 29

Class	r	Atkin-Lehner	Eigenvalues
73689a (2 curves)	0	3+ 7+ 11+ 29-	1 3+  2 7+ 11+  0  2  2
Curve Equation t 73689a1 [1,1,0,-409,-2768] 2 73689a2 [1,1,0,-2004,31365] 2
73689b (1 curve)	0	3+ 7+ 11- 29+	0 3+ -1 7+ 11-  0 -3  6
Curve Equation t 73689b1 [0,-1,1,-32501,1706528] 1
73689c (6 curves)	0	3+ 7+ 11- 29+	1 3+ -2 7+ 11-  2 -2  4
Curve Equation t 73689c1 [1,1,0,-94866,-12080889] 2 73689c2 [1,1,0,-1547471,-741579120] 4 73689c3 [1,1,0,-1577116,-711726605] 4 73689c4 [1,1,0,-24759506,-47430266319] 2 73689c5 [1,1,0,1510199,-3155027696] 2 73689c6 [1,1,0,-5138751,3642728346] 2
73689d (2 curves)	0	3+ 7+ 11- 29+	-1 3+  0 7+ 11-  6  2  0
Curve Equation t 73689d1 [1,1,1,-63,-4212] 2 73689d2 [1,1,1,-4298,-109240] 2
73689e (1 curve)	0	3+ 7+ 11- 29+	-1 3+  3 7+ 11-  3 -1  6
Curve Equation t 73689e1 [1,1,1,-287559,59299824] 1
73689f (1 curve)	1	3+ 7+ 11- 29-	0 3+ -1 7+ 11-  0 -3  2
Curve Equation t Generators 73689f1 [0,-1,1,-161,-100] 1 [-2:14:1]
73689g (1 curve)	1	3+ 7+ 11- 29-	1 3+ -2 7+ 11- -2  1  3
Curve Equation t Generators 73689g1 [1,1,0,-1696,454711] 1 [130:1501:1]
73689h (1 curve)	1	3+ 7+ 11- 29-	1 3+ -2 7+ 11- -4  3 -5
Curve Equation t Generators 73689h1 [1,1,0,4354,181251] 1 [50:701:1]
73689i (1 curve)	1	3+ 7+ 11- 29-	-1 3+ -2 7+ 11- -4 -1  7
Curve Equation t Generators 73689i1 [1,1,1,-337169,-75500710] 1 [263382:3611404:343]
73689j (2 curves)	0	3+ 7- 11+ 29+	-1 3+  2 7- 11+  0 -2 -2
Curve Equation t 73689j1 [1,1,1,-49552,3436544] 2 73689j2 [1,1,1,-242547,-42959454] 2
73689k (1 curve)	1	3+ 7- 11- 29+	0 3+ -1 7- 11-  0  3 -2
Curve Equation t Generators 73689k1 [0,-1,1,-19521,210803] 1 [-119:913:1]
73689l (1 curve)	1	3+ 7- 11- 29+	1 3+  1 7- 11-  1 -5  2
Curve Equation t Generators 73689l1 [1,1,0,-2,15723] 1 [1218:8345:27]
73689m (4 curves)	1	3+ 7- 11- 29+	1 3+ -2 7- 11- -2 -2  8
Curve Equation t Generators 73689m1 [1,1,0,-4091496,-3220993629] 2 [1609270438485039438:495803104082161123953:16891507190312] 73689m2 [1,1,0,-65656901,-204798442680] 4 [-27720120419908096038557348703397820:13189925939435102849913609280596142:5923590803360672592789397914875] 73689m3 [1,1,0,-65849896,-203534132435] 2 [-902791788049640638:-7713041335737133045:187208147297816] 73689m4 [1,1,0,-1050510386,-13105788184089] 2 [-7314945340505501737117906737408028530283591444213898127411280:3657466435869439404448200973186942377014353790833914244853443:390896576805245284136242459067892332695726187044777472000]
73689n (1 curve)	1	3+ 7- 11- 29+	1 3+ -2 7- 11-  4  1 -7
Curve Equation t Generators 73689n1 [1,1,0,-40797451,100287457516] 1 [3700:796:1]
73689o (1 curve)	1	3+ 7- 11- 29+	-1 3+ -2 7- 11-  2 -1 -3
Curve Equation t Generators 73689o1 [1,1,1,-205279,-606246640] 1 [3344:188367:1]
73689p (1 curve)	1	3+ 7- 11- 29+	-1 3+ -2 7- 11-  4 -3  5
Curve Equation t Generators 73689p1 [1,1,1,36,-120] 1 [4:8:1]
73689q (1 curve)	0	3+ 7- 11- 29-	0 3+ -1 7- 11-  0  3 -6
Curve Equation t 73689q1 [0,-1,1,-3932661,-2255658505] 1
73689r (4 curves)	0	3+ 7- 11- 29-	-1 3+  2 7- 11-  2  2  0
Curve Equation t 73689r1 [1,1,1,-5992,-178936] 2 73689r2 [1,1,1,-11437,189146] 4 73689r3 [1,1,1,41198,1494494] 2 73689r4 [1,1,1,-151192,22549946] 2
73689s (4 curves)	0	3+ 7- 11- 29-	-1 3+  2 7- 11- -2  2 -4
Curve Equation t 73689s1 [1,1,1,-18697,791726] 2 73689s2 [1,1,1,-91902,-10042614] 4 73689s3 [1,1,1,87783,-44326512] 4 73689s4 [1,1,1,-1442867,-667692376] 2
73689t (2 curves)	0	3- 7+ 11+ 29+	-1 3-  0 7+ 11+ -2  6 -4
Curve Equation t 73689t1 [1,0,0,-4298,41955] 2 73689t2 [1,0,0,15667,325458] 2
73689u (1 curve)	1	3- 7+ 11- 29+	0 3-  1 7+ 11-  4 -1 -6
Curve Equation t Generators 73689u1 [0,1,1,-2220995,-1241532682] 1 [-6214:31577:8]
73689v (2 curves)	0	3- 7- 11+ 29-	1 3-  0 7- 11+  2 -6  4
Curve Equation t 73689v1 [1,0,1,-36,-35] 2 73689v2 [1,0,1,129,-233] 2
73689w (1 curve)	1	3- 7- 11- 29-	0 3-  1 7- 11- -4  1  6
Curve Equation t Generators 73689w1 [0,1,1,-18355,926107] 1 [5:913:1]
73689x (4 curves)	1	3- 7- 11- 29-	-1 3- -2 7- 11-  2  2  0
Curve Equation t Generators 73689x1 [1,0,0,5866,-474957] 2 [18270:225057:125] 73689x2 [1,0,0,-67339,-6023896] 4 [-152:916:1] 73689x3 [1,0,0,-260334,44733789] 4 [-396:9459:1] 73689x4 [1,0,0,-1045624,-411620857] 2 [-301432:161531:512]

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