Cremona's table of elliptic curves

12078 = 2 · 3² · 11 · 61

Class	r	Atkin-Lehner	Eigenvalues
12078a (2 curves)	1	2+ 3+ 11+ 61+	2+ 3+  0 -2 11+ -2  2  4
Curve Equation t Generators 12078a1 [1,-1,0,-9717,15490357] 2 [-187:3371:1] 12078a2 [1,-1,0,-992757,376659253] 2 [506:1667:1]
12078b (2 curves)	0	2+ 3+ 11+ 61-	2+ 3+ -3  2 11+ -1  0  2
Curve Equation t 12078b1 [1,-1,0,-411,3501] 3 12078b2 [1,-1,0,2334,2708] 1
12078c (1 curve)	0	2+ 3+ 11- 61+	2+ 3+ -1 -2 11-  1 -4  6
Curve Equation t 12078c1 [1,-1,0,-570,-5098] 1
12078d (2 curves)	0	2+ 3+ 11- 61+	2+ 3+  4 -2 11-  6  6  6
Curve Equation t 12078d1 [1,-1,0,-2786010,1790569268] 2 12078d2 [1,-1,0,-2788170,1787655428] 2
12078e (2 curves)	1	2+ 3+ 11- 61-	2+ 3+  3  2 11- -4 -3  2
Curve Equation t Generators 12078e1 [1,-1,0,-183,3843] 3 [21:84:1] 12078e2 [1,-1,0,1632,-97192] 1 [181:2380:1]
12078f (1 curve)	0	2+ 3- 11+ 61+	2+ 3-  0 -2 11+  1  5  4
Curve Equation t 12078f1 [1,-1,0,-252,-176] 1
12078g (2 curves)	2	2+ 3- 11+ 61+	2+ 3- -2  0 11+ -2 -6 -2
Curve Equation t Generators 12078g1 [1,-1,0,-18,1620] 2 [-9:36:1]&[-3:42:1] 12078g2 [1,-1,0,-2178,39204] 2 [-44:242:1]&[-21:285:1]
12078h (1 curve)	1	2+ 3- 11+ 61-	2+ 3-  0  2 11+ -1  5  0
Curve Equation t Generators 12078h1 [1,-1,0,-132,-550] 1 [-50:35:8]
12078i (2 curves)	1	2+ 3- 11+ 61-	2+ 3- -2  4 11+  2 -6 -6
Curve Equation t Generators 12078i1 [1,-1,0,-198,-3740] 2 [24:58:1] 12078i2 [1,-1,0,-5058,-136904] 2 [-42:32:1]
12078j (3 curves)	1	2+ 3- 11+ 61-	2+ 3-  4 -2 11+ -1 -3  0
Curve Equation t Generators 12078j1 [1,-1,0,-125640,-17108672] 1 [-26776841349:13478218262:131872229] 12078j2 [1,-1,0,-1690920,842388448] 1 [519:9958:1] 12078j3 [1,-1,0,-1055315250,13195629646078] 1 [1038133108449159:-519025202795912:55349900731]
12078k (1 curve)	1	2+ 3- 11- 61+	2+ 3-  1  2 11- -3 -8  4
Curve Equation t Generators 12078k1 [1,-1,0,45936,-53414528] 1 [413:5783:1]
12078l (1 curve)	1	2+ 3- 11- 61+	2+ 3- -3  2 11- -3  0 -4
Curve Equation t Generators 12078l1 [1,-1,0,1032714,-96839564] 1 [1269205:127885546:125]
12078m (4 curves)	0	2+ 3- 11- 61-	2+ 3-  0 -4 11-  2 -6 -4
Curve Equation t 12078m1 [1,-1,0,-16587,-870075] 2 12078m2 [1,-1,0,-270027,-53940411] 2 12078m3 [1,-1,0,95733,-574587] 6 12078m4 [1,-1,0,-383427,-4312035] 6
12078n (1 curve)	0	2- 3+ 11+ 61+	2- 3+  1 -2 11+  1  4  6
Curve Equation t 12078n1 [1,-1,1,-5132,142777] 1
12078o (2 curves)	0	2- 3+ 11+ 61+	2- 3+ -4 -2 11+  6 -6  6
Curve Equation t 12078o1 [1,-1,1,-309557,-66214195] 2 12078o2 [1,-1,1,-309797,-66106195] 2
12078p (2 curves)	1	2- 3+ 11+ 61-	2- 3+ -3  2 11+ -4  3  2
Curve Equation t Generators 12078p1 [1,-1,1,181,3539] 3 [-11:16:1] 12078p2 [1,-1,1,-1649,-102113] 1 [13362:30479:216]
12078q (2 curves)	1	2- 3+ 11- 61+	2- 3+  0 -2 11- -2 -2  4
Curve Equation t Generators 12078q1 [1,-1,1,-87455,-418152185] 2 [1811:72310:1] 12078q2 [1,-1,1,-8934815,-10160865017] 2 [-1741:11606:1]
12078r (2 curves)	0	2- 3+ 11- 61-	2- 3+  3  2 11- -1  0  2
Curve Equation t 12078r1 [1,-1,1,259,-187] 3 12078r2 [1,-1,1,-3701,-90827] 1
12078s (1 curve)	2	2- 3- 11+ 61-	2- 3- -3 -4 11+ -6 -3 -4
Curve Equation t Generators 12078s1 [1,-1,1,-554,5609] 1 [-27:31:1]&[-9:103:1]
12078t (2 curves)	0	2- 3- 11+ 61-	2- 3- -4  0 11+  2 -2  4
Curve Equation t 12078t1 [1,-1,1,-32,-385] 2 12078t2 [1,-1,1,-1022,-12265] 2
12078u (1 curve)	0	2- 3- 11- 61+	2- 3-  2  4 11- -3  3  0
Curve Equation t 12078u1 [1,-1,1,-329,2315] 1
12078v (2 curves)	0	2- 3- 11- 61+	2- 3- -4  4 11-  6  6  0
Curve Equation t 12078v1 [1,-1,1,97348,-59512705] 2 12078v2 [1,-1,1,-1819292,-887501185] 2
12078w (1 curve)	1	2- 3- 11- 61-	2- 3- -1 -2 11- -1  0  0
Curve Equation t Generators 12078w1 [1,-1,1,-743,8223] 1 [23:-66:1]
12078x (2 curves)	1	2- 3- 11- 61-	2- 3- -3 -4 11-  2 -3 -4
Curve Equation t Generators 12078x1 [1,-1,1,9841,-32285041] 1 [6561:528160:1] 12078x2 [1,-1,1,-88574,871755149] 3 [-243:29767:1]

Data from Elliptic Curve Data by J. E. Cremona.
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