Cremona's table of elliptic curves

1320 = 2³ · 3 · 5 · 11

Class	r	Atkin-Lehner	Eigenvalues
1320a (2 curves)	1	2+ 3+ 5+ 11+	2+ 3+ 5+  2 11+ -4  0 -4
Curve Equation t Generators 1320a1 [0,-1,0,-11,0] 2 [-1:3:1] 1320a2 [0,-1,0,44,-44] 2 [6:20:1]
1320b (4 curves)	1	2+ 3+ 5- 11-	2+ 3+ 5-  0 11- -6 -6  0
Curve Equation t Generators 1320b1 [0,-1,0,-55,-140] 2 [12:28:1] 1320b2 [0,-1,0,-60,-108] 4 [-3:6:1] 1320b3 [0,-1,0,-360,2652] 4 [17:34:1] 1320b4 [0,-1,0,160,-900] 2 [10:40:1]
1320c (2 curves)	0	2+ 3- 5+ 11+	2+ 3- 5+ -2 11+  0  4  4
Curve Equation t 1320c1 [0,1,0,-8931,319050] 2 1320c2 [0,1,0,-2276,790224] 2
1320d (2 curves)	1	2+ 3- 5+ 11-	2+ 3- 5+ -2 11-  0 -8 -8
Curve Equation t Generators 1320d1 [0,1,0,309,2034] 2 [-3:33:1] 1320d2 [0,1,0,-1716,17424] 2 [0:132:1]
1320e (2 curves)	0	2- 3+ 5+ 11+	2- 3+ 5+ -2 11+ -4 -4  8
Curve Equation t 1320e1 [0,-1,0,-10931,-436260] 2 1320e2 [0,-1,0,-10876,-440924] 2
1320f (4 curves)	0	2- 3+ 5+ 11+	2- 3+ 5+  4 11+  2  2 -4
Curve Equation t 1320f1 [0,-1,0,-276,1860] 4 1320f2 [0,-1,0,-296,1596] 4 1320f3 [0,-1,0,-1616,-23220] 2 1320f4 [0,-1,0,704,9196] 2
1320g (2 curves)	1	2- 3+ 5+ 11-	2- 3+ 5+ -2 11-  4  0 -4
Curve Equation t Generators 1320g1 [0,-1,0,-11,36] 2 [1:5:1] 1320g2 [0,-1,0,-236,1476] 2 [20:-66:1]
1320h (6 curves)	1	2- 3+ 5- 11+	2- 3+ 5-  0 11+ -2 -6 -4
Curve Equation t Generators 1320h1 [0,-1,0,-175,1552] 4 [-11:45:1] 1320h2 [0,-1,0,-3300,74052] 8 [-16:350:1] 1320h3 [0,-1,0,-3800,50652] 4 [-18:336:1] 1320h4 [0,-1,0,-52800,4687452] 4 [169:750:1] 1320h5 [0,-1,0,-28000,-1759508] 2 [-2301:602:27] 1320h6 [0,-1,0,12400,355212] 2 [666:11193:8]
1320i (4 curves)	1	2- 3+ 5- 11+	2- 3+ 5- -4 11+  2  6  4
Curve Equation t Generators 1320i1 [0,-1,0,25,0] 4 [1:5:1] 1320i2 [0,-1,0,-100,100] 4 [-8:18:1] 1320i3 [0,-1,0,-1000,-11780] 2 [-18:8:1] 1320i4 [0,-1,0,-1200,16380] 2 [22:12:1]
1320j (4 curves)	0	2- 3+ 5- 11-	2- 3+ 5-  4 11-  2 -2  4
Curve Equation t 1320j1 [0,-1,0,-55,-8] 4 1320j2 [0,-1,0,-660,-6300] 4 1320j3 [0,-1,0,-10560,-414180] 2 1320j4 [0,-1,0,-440,-10788] 2
1320k (2 curves)	1	2- 3- 5+ 11+	2- 3- 5+ -2 11+ -4  4  0
Curve Equation t Generators 1320k1 [0,1,0,-131,534] 2 [-5:33:1] 1320k2 [0,1,0,-76,1040] 2 [14:-54:1]
1320l (2 curves)	0	2- 3- 5+ 11-	2- 3- 5+  2 11-  0  4 -4
Curve Equation t 1320l1 [0,1,0,-371,-2970] 2 1320l2 [0,1,0,-5996,-180720] 2
1320m (6 curves)	0	2- 3- 5- 11+	2- 3- 5-  0 11+ -2  2  4
Curve Equation t 1320m1 [0,1,0,65,-142] 4 1320m2 [0,1,0,-340,-1600] 8 1320m3 [0,1,0,-4840,-131200] 4 1320m4 [0,1,0,-2320,41168] 4 1320m5 [0,1,0,-77440,-8320480] 2 1320m6 [0,1,0,-4240,-164320] 2
1320n (4 curves)	1	2- 3- 5- 11-	2- 3- 5- -4 11- -6 -2 -4
Curve Equation t Generators 1320n1 [0,1,0,-3415,75650] 4 [-10:330:1] 1320n2 [0,1,0,-4020,46368] 4 [-54:330:1] 1320n3 [0,1,0,-31520,-2131632] 2 [-104:180:1] 1320n4 [0,1,0,13800,360000] 2 [0:600:1]

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

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