Cremona's table of elliptic curves

4312 = 2³ · 7² · 11

Class	r	Atkin-Lehner	Eigenvalues
4312a (1 curve)	1	2+ 7+ 11+	2+ -1  2 7+ 11+  3 -2  4
Curve Equation t Generators 4312a1 [0,-1,0,-9032,272812] 1 [33:98:1]
4312b (2 curves)	0	2+ 7- 11+	2+  0  0 7- 11+  6  0  2
Curve Equation t 4312b1 [0,0,0,4165,-29498] 2 4312b2 [0,0,0,-17395,-240786] 2
4312c (1 curve)	0	2+ 7- 11+	2+  1 -2 7- 11+ -3  2 -4
Curve Equation t 4312c1 [0,1,0,-184,-848] 1
4312d (2 curves)	0	2+ 7- 11+	2+  2 -2 7- 11+ -4  0  4
Curve Equation t 4312d1 [0,-1,0,-604,9780] 2 4312d2 [0,-1,0,-11384,471164] 2
4312e (2 curves)	0	2+ 7- 11+	2+ -2 -2 7- 11+  0 -4 -4
Curve Equation t 4312e1 [0,1,0,187556,-33079488] 2 4312e2 [0,1,0,-1116824,-318999584] 2
4312f (1 curve)	0	2+ 7- 11+	2+  3  3 7- 11+  0  6 -4
Curve Equation t 4312f1 [0,0,0,-196,-1372] 1
4312g (1 curve)	1	2+ 7- 11-	2+  1  1 7- 11-  0  2  2
Curve Equation t Generators 4312g1 [0,1,0,-65,-67453] 1 [107:1078:1]
4312h (4 curves)	1	2- 7- 11+	2-  0  2 7- 11+ -2  2  4
Curve Equation t Generators 4312h1 [0,0,0,-1274,17493] 4 [642:685:27] 4312h2 [0,0,0,-1519,10290] 4 [57:330:1] 4312h3 [0,0,0,-12299,-517930] 2 [155:1140:1] 4312h4 [0,0,0,5341,77518] 2 [3297:43120:27]
4312i (2 curves)	1	2- 7- 11+	2-  2  0 7- 11+ -2  2 -4
Curve Equation t Generators 4312i1 [0,-1,0,-1143,-13936] 2 [1155:3151:27] 4312i2 [0,-1,0,572,-53724] 2 [132:1518:1]
4312j (2 curves)	1	2- 7- 11+	2- -2  0 7- 11+  2 -2  4
Curve Equation t Generators 4312j1 [0,1,0,-23,34] 2 [-5:7:1] 4312j2 [0,1,0,12,160] 2 [2:14:1]
4312k (2 curves)	0	2- 7- 11-	2-  2  4 7- 11-  2  2  8
Curve Equation t 4312k1 [0,-1,0,-4916,-141532] 2 4312k2 [0,-1,0,-80376,-8743972] 2
4312l (2 curves)	2	2- 7- 11-	2- -2 -4 7- 11- -2 -2 -8
Curve Equation t Generators 4312l1 [0,1,0,-100,384] 2 [-10:22:1]&[-1:22:1] 4312l2 [0,1,0,-1640,25024] 2 [-40:168:1]&[16:56:1]

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