Cremona's table of elliptic curves

3504 = 2⁴ · 3 · 73

Class	r	Atkin-Lehner	Eigenvalues
3504a (2 curves)	1	2+ 3+ 73+	2+ 3+  0  0  2 -6  0  4
Curve Equation t Generators 3504a1 [0,-1,0,57,126] 2 [62:488:1] 3504a2 [0,-1,0,-308,1440] 2 [4:16:1]
3504b (2 curves)	1	2+ 3+ 73+	2+ 3+  0  2  0  2  0 -4
Curve Equation t Generators 3504b1 [0,-1,0,-28,64] 2 [0:8:1] 3504b2 [0,-1,0,-88,-224] 2 [-3:2:1]
3504c (2 curves)	1	2+ 3+ 73+	2+ 3+  0  4 -2  2 -8  4
Curve Equation t Generators 3504c1 [0,-1,0,-23,-42] 2 [2030:7504:125] 3504c2 [0,-1,0,-388,-2816] 2 [64:480:1]
3504d (2 curves)	1	2+ 3+ 73+	2+ 3+  2 -2  2 -4  4 -4
Curve Equation t Generators 3504d1 [0,-1,0,-32,-48] 2 [-2:2:1] 3504d2 [0,-1,0,-152,720] 2 [10:10:1]
3504e (1 curve)	1	2+ 3+ 73+	2+ 3+ -3 -2  4  2 -5 -5
Curve Equation t Generators 3504e1 [0,-1,0,343,-1419] 1 [4:1:1]
3504f (4 curves)	0	2+ 3+ 73-	2+ 3+  2 -4  4  2  2  4
Curve Equation t 3504f1 [0,-1,0,-132,288] 2 3504f2 [0,-1,0,-1752,28800] 4 3504f3 [0,-1,0,-28032,1815840] 2 3504f4 [0,-1,0,-1392,40608] 4
3504g (2 curves)	0	2+ 3+ 73-	2+ 3+  4  2  0  0 -2 -4
Curve Equation t 3504g1 [0,-1,0,-216,-1152] 2 3504g2 [0,-1,0,-176,-1632] 2
3504h (2 curves)	0	2+ 3- 73+	2+ 3-  4  0  2 -2  8  4
Curve Equation t 3504h1 [0,1,0,-126756,17296092] 2 3504h2 [0,1,0,-83016,29455812] 2
3504i (2 curves)	0	2+ 3- 73+	2+ 3- -4  4  6 -2  0  4
Curve Equation t 3504i1 [0,1,0,-20,-36] 2 3504i2 [0,1,0,40,-156] 2
3504j (2 curves)	1	2+ 3- 73-	2+ 3-  0 -4 -2  4  2  0
Curve Equation t Generators 3504j1 [0,1,0,-48,36] 2 [-6:12:1] 3504j2 [0,1,0,-408,-3276] 2 [-12:6:1]
3504k (1 curve)	1	2+ 3- 73-	2+ 3- -1  0  0  0 -3 -1
Curve Equation t Generators 3504k1 [0,1,0,-1,11] 1 [-2:3:1]
3504l (4 curves)	1	2+ 3- 73-	2+ 3-  2  0  0 -6 -6 -4
Curve Equation t Generators 3504l1 [0,1,0,-1972,-34372] 2 [74:480:1] 3504l2 [0,1,0,-1992,-33660] 4 [-24:30:1] 3504l3 [0,1,0,-5232,99828] 4 [84:510:1] 3504l4 [0,1,0,928,-121260] 2 [70:540:1]
3504m (1 curve)	0	2- 3+ 73+	2- 3+ -1  2  4 -2  1  7
Curve Equation t 3504m1 [0,-1,0,-61,-191] 1
3504n (2 curves)	0	2- 3+ 73+	2- 3+  2  2 -2  4  4  4
Curve Equation t 3504n1 [0,-1,0,-2072,35568] 2 3504n2 [0,-1,0,-32792,2296560] 2
3504o (2 curves)	1	2- 3+ 73-	2- 3+  0  2 -4  4 -2 -4
Curve Equation t Generators 3504o1 [0,-1,0,-208,1216] 2 [-8:48:1] 3504o2 [0,-1,0,-48,2880] 2 [-6:54:1]
3504p (4 curves)	1	2- 3+ 73-	2- 3+  0 -2  0 -4  6  4
Curve Equation t Generators 3504p1 [0,-1,0,-15008,612096] 2 [98:270:1] 3504p2 [0,-1,0,25952,3331840] 2 [1730:72270:1] 3504p3 [0,-1,0,-1167008,485631744] 2 [674:2190:1] 3504p4 [0,-1,0,-1166368,486190336] 2 [578:2190:1]
3504q (4 curves)	1	2- 3+ 73-	2- 3+  0  4  6 -4 -6 -8
Curve Equation t Generators 3504q1 [0,-1,0,-31128,-2097936] 2 [-13220:704:125] 3504q2 [0,-1,0,-497688,-134974224] 2 [220418:103482610:1] 3504q3 [0,-1,0,-154248,21624048] 2 [-174:6570:1] 3504q4 [0,-1,0,-522888,-120523536] 2 [1274:35770:1]
3504r (2 curves)	1	2- 3+ 73-	2- 3+ -3  4  0 -4  3  1
Curve Equation t Generators 3504r1 [0,-1,0,43,-99] 1 [4:11:1] 3504r2 [0,-1,0,-437,4989] 1 [-20:73:1]
3504s (2 curves)	1	2- 3+ 73-	2- 3+ -4  0 -2  0 -6  8
Curve Equation t Generators 3504s1 [0,-1,0,-120,-144] 2 [-6:18:1] 3504s2 [0,-1,0,-1560,-23184] 2 [-22:2:1]
3504t (2 curves)	1	2- 3- 73+	2- 3-  0  2 -4 -6  0  4
Curve Equation t Generators 3504t1 [0,1,0,-88,20] 2 [-4:18:1] 3504t2 [0,1,0,-1048,12692] 2 [28:78:1]
3504u (1 curve)	1	2- 3- 73+	2- 3- -1 -2  4 -2 -3  1
Curve Equation t Generators 3504u1 [0,1,0,-101,-429] 1 [150:1839:1]
3504v (2 curves)	1	2- 3- 73+	2- 3- -4 -2  4 -2  0  4
Curve Equation t Generators 3504v1 [0,1,0,-1320,16884] 2 [30:-72:1] 3504v2 [0,1,0,-20760,1144404] 2 [84:18:1]
3504w (1 curve)	0	2- 3- 73-	2- 3-  1  4  0  4  3  7
Curve Equation t 3504w1 [0,1,0,-48885,-4176513] 1
3504x (4 curves)	0	2- 3- 73-	2- 3- -2  4  0 -2 -6  4
Curve Equation t 3504x1 [0,1,0,-304,-1708] 2 3504x2 [0,1,0,-1584,22356] 4 3504x3 [0,1,0,-24944,1508052] 4 3504x4 [0,1,0,1296,97236] 4

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