Cremona's table of elliptic curves

3312 = 2⁴ · 3² · 23

Class	r	Atkin-Lehner	Eigenvalues
3312a (2 curves)	0	2+ 3- 23+	2+ 3-  2 -2 -2 -2  4  0
Curve Equation t 3312a1 [0,0,0,-579,-7598] 2 3312a2 [0,0,0,-10299,-402230] 2
3312b (4 curves)	0	2+ 3- 23+	2+ 3-  2  4  0 -2  2  4
Curve Equation t 3312b1 [0,0,0,-39,902] 2 3312b2 [0,0,0,-1659,25850] 4 3312b3 [0,0,0,-2739,-11950] 2 3312b4 [0,0,0,-26499,1660322] 2
3312c (1 curve)	0	2+ 3- 23+	2+ 3-  2  4 -2  7  4  6
Curve Equation t 3312c1 [0,0,0,-39,97] 1
3312d (2 curves)	1	2+ 3- 23-	2+ 3-  0  2  0  2 -8 -6
Curve Equation t Generators 3312d1 [0,0,0,-26175,1644478] 2 [113:360:1] 3312d2 [0,0,0,-419835,104704666] 2 [299:2430:1]
3312e (1 curve)	1	2+ 3- 23-	2+ 3-  0  2  0 -5  6 -6
Curve Equation t Generators 3312e1 [0,0,0,-495,-4239] 1 [1192:41147:1]
3312f (2 curves)	1	2+ 3- 23-	2+ 3-  0 -4  6 -2 -6  6
Curve Equation t Generators 3312f1 [0,0,0,45,162] 2 [3:18:1] 3312f2 [0,0,0,-315,1674] 2 [-17:46:1]
3312g (4 curves)	1	2+ 3- 23-	2+ 3- -2  4 -4 -2  2  0
Curve Equation t Generators 3312g1 [0,0,0,-1866,-31025] 2 [311987:3520440:2197] 3312g2 [0,0,0,-1911,-29450] 4 [557:13104:1] 3312g3 [0,0,0,-6771,181474] 4 [-85:378:1] 3312g4 [0,0,0,2229,-139574] 2 [41:144:1]
3312h (1 curve)	1	2+ 3- 23-	2+ 3-  4 -2 -4 -5  2 -6
Curve Equation t Generators 3312h1 [0,0,0,-3,25] 1 [0:5:1]
3312i (2 curves)	1	2+ 3- 23-	2+ 3- -4 -2  0  2  4  6
Curve Equation t Generators 3312i1 [0,0,0,33,-290] 2 [14:54:1] 3312i2 [0,0,0,-507,-4070] 2 [-13:18:1]
3312j (2 curves)	0	2- 3+ 23+	2- 3+ -2 -2  4 -2 -2  2
Curve Equation t 3312j1 [0,0,0,-216,1215] 2 3312j2 [0,0,0,-351,-486] 2
3312k (2 curves)	1	2- 3+ 23-	2- 3+  2 -2 -4 -2  2  2
Curve Equation t Generators 3312k1 [0,0,0,-24,-45] 2 [45:300:1] 3312k2 [0,0,0,-39,18] 2 [-6:6:1]
3312l (2 curves)	1	2- 3- 23+	2- 3-  0  2  4 -6 -4 -2
Curve Equation t Generators 3312l1 [0,0,0,-75,-1222] 2 [31:162:1] 3312l2 [0,0,0,-2235,-40534] 2 [55:54:1]
3312m (2 curves)	1	2- 3- 23+	2- 3-  0 -2  0 -1  6 -2
Curve Equation t Generators 3312m1 [0,0,0,15,11] 1 [2:7:1] 3312m2 [0,0,0,-165,-997] 1 [146:1757:1]
3312n (4 curves)	1	2- 3- 23+	2- 3-  0 -2  0  2  0 -2
Curve Equation t Generators 3312n1 [0,0,0,-5115,147242] 2 [13:288:1] 3312n2 [0,0,0,-82875,9182954] 2 [143:506:1] 3312n3 [0,0,0,27285,301466] 2 [7:702:1] 3312n4 [0,0,0,-110955,2430362] 2 [1543:59202:1]
3312o (2 curves)	1	2- 3- 23+	2- 3-  2  2 -6 -2  0  0
Curve Equation t Generators 3312o1 [0,0,0,-219,2698] 2 [-1:54:1] 3312o2 [0,0,0,-4539,117610] 2 [15:230:1]
3312p (4 curves)	1	2- 3- 23+	2- 3- -2  0  0 -2 -2  8
Curve Equation t Generators 3312p1 [0,0,0,429,3346] 2 [-1:54:1] 3312p2 [0,0,0,-2451,31570] 4 [-9:230:1] 3312p3 [0,0,0,-15411,-712334] 2 [143:90:1] 3312p4 [0,0,0,-35571,2581810] 2 [113:72:1]
3312q (1 curve)	0	2- 3- 23-	2- 3-  2  4  2 -5 -4  2
Curve Equation t 3312q1 [0,0,0,-9,27] 1
3312r (2 curves)	0	2- 3- 23-	2- 3- -4  4  2 -2  2  2
Curve Equation t 3312r1 [0,0,0,-1467,-25110] 2 3312r2 [0,0,0,-24507,-1476630] 2

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

Part of Computational Number Theory
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