Cremona's table of elliptic curves

15312 = 2⁴ · 3 · 11 · 29

Class	r	Atkin-Lehner	Eigenvalues
15312a (1 curve)	1	2+ 3+ 11+ 29+	2+ 3+  3  1 11+  3 -2  1
Curve Equation t Generators 15312a1 [0,-1,0,-1713904,866109472] 1 [644:5388:1]
15312b (2 curves)	1	2+ 3+ 11+ 29+	2+ 3+  4 -2 11+ -4  6  0
Curve Equation t Generators 15312b1 [0,-1,0,-9736,279808] 2 [-18:670:1] 15312b2 [0,-1,0,23904,1759968] 2 [612:15660:1]
15312c (4 curves)	0	2+ 3+ 11+ 29-	2+ 3+ -2  4 11+ -2  2 -4
Curve Equation t 15312c1 [0,-1,0,-319,-2090] 2 15312c2 [0,-1,0,-324,-2016] 4 15312c3 [0,-1,0,-984,9600] 4 15312c4 [0,-1,0,256,-8976] 2
15312d (2 curves)	0	2+ 3+ 11+ 29-	2+ 3+  4  0 11+  4 -2  8
Curve Equation t 15312d1 [0,-1,0,-176,528] 2 15312d2 [0,-1,0,-1336,-18032] 2
15312e (2 curves)	0	2+ 3+ 11- 29+	2+ 3+  2 -2 11- -2 -6  8
Curve Equation t 15312e1 [0,-1,0,-852,9792] 2 15312e2 [0,-1,0,-272,22320] 2
15312f (4 curves)	0	2+ 3- 11+ 29+	2+ 3-  2  4 11+ -6 -2  0
Curve Equation t 15312f1 [0,1,0,-2012,8652] 2 15312f2 [0,1,0,-18832,-993820] 4 15312f3 [0,1,0,-300712,-63571180] 2 15312f4 [0,1,0,-6072,-2305548] 2
15312g (1 curve)	2	2+ 3- 11+ 29+	2+ 3- -3 -3 11+ -4 -7 -5
Curve Equation t Generators 15312g1 [0,1,0,-792,19764] 1 [-30:132:1]&[-6:156:1]
15312h (4 curves)	1	2+ 3- 11+ 29-	2+ 3-  2  0 11+ -2 -6  8
Curve Equation t Generators 15312h1 [0,1,0,-132,-1092] 2 [544110:6911632:3375] 15312h2 [0,1,0,-2552,-50460] 4 [646:16380:1] 15312h3 [0,1,0,-40832,-3189420] 2 [226044:5493930:343] 15312h4 [0,1,0,-2992,-32332] 4 [62:156:1]
15312i (2 curves)	1	2+ 3- 11- 29+	2+ 3-  0 -4 11-  4 -6  0
Curve Equation t Generators 15312i1 [0,1,0,-88,-220] 2 [-8:6:1] 15312i2 [0,1,0,-1248,-17388] 2 [276:4554:1]
15312j (1 curve)	0	2+ 3- 11- 29-	2+ 3-  3  1 11- -1  6 -1
Curve Equation t 15312j1 [0,1,0,-104,-492] 1
15312k (2 curves)	0	2- 3+ 11+ 29+	2- 3+  1 -3 11+ -1 -2 -5
Curve Equation t 15312k1 [0,-1,0,-9360,-378432] 1 15312k2 [0,-1,0,4080,27415488] 1
15312l (2 curves)	0	2- 3+ 11+ 29+	2- 3+  1 -3 11+  4  3  5
Curve Equation t 15312l1 [0,-1,0,-3477600,-2494976256] 1 15312l2 [0,-1,0,8648640,-13290051456] 1
15312m (4 curves)	0	2- 3+ 11+ 29+	2- 3+ -2  0 11+  2 -2  4
Curve Equation t 15312m1 [0,-1,0,616,-8976] 2 15312m2 [0,-1,0,-4504,-90896] 4 15312m3 [0,-1,0,-67864,-6781712] 2 15312m4 [0,-1,0,-23064,1275120] 2
15312n (2 curves)	0	2- 3+ 11+ 29+	2- 3+  4  0 11+ -2 -6  2
Curve Equation t 15312n1 [0,-1,0,144,1728] 2 15312n2 [0,-1,0,-1616,22848] 2
15312o (1 curve)	1	2- 3+ 11+ 29-	2- 3+  3  3 11+  1 -6 -5
Curve Equation t Generators 15312o1 [0,-1,0,56,496] 1 [20:96:1]
15312p (4 curves)	1	2- 3+ 11- 29+	2- 3+  0  4 11- -4 -6  4
Curve Equation t Generators 15312p1 [0,-1,0,-73408,-7623680] 2 [159894:2639986:343] 15312p2 [0,-1,0,-91968,-3451392] 2 [-208:2576:1] 15312p3 [0,-1,0,-272128,46725376] 2 [192:1232:1] 15312p4 [0,-1,0,-4174368,3284023680] 2 [888:16632:1]
15312q (2 curves)	1	2- 3+ 11- 29+	2- 3+ -3  1 11- -4  3  1
Curve Equation t Generators 15312q1 [0,-1,0,14928,1174464] 1 [392:8192:1] 15312q2 [0,-1,0,-568752,165759936] 1 [200:7744:1]
15312r (2 curves)	1	2- 3- 11+ 29+	2- 3- -2  2 11+  2  2  0
Curve Equation t Generators 15312r1 [0,1,0,-9504,228852] 2 [-102:384:1] 15312r2 [0,1,0,27616,1609716] 2 [-44:558:1]
15312s (2 curves)	0	2- 3- 11+ 29-	2- 3-  0  0 11+  0 -2  4
Curve Equation t 15312s1 [0,1,0,-127608,-16339500] 2 15312s2 [0,1,0,-424568,87358932] 2
15312t (1 curve)	0	2- 3- 11- 29+	2- 3-  1 -1 11-  5  2  3
Curve Equation t 15312t1 [0,1,0,14653040,11017765652] 1
15312u (1 curve)	0	2- 3- 11- 29+	2- 3-  1 -3 11- -4  5  7
Curve Equation t 15312u1 [0,1,0,-120,-1068] 1
15312v (1 curve)	0	2- 3- 11- 29+	2- 3- -1 -5 11- -3  2 -7
Curve Equation t 15312v1 [0,1,0,-4496,-117612] 1
15312w (2 curves)	0	2- 3- 11- 29+	2- 3-  4  0 11-  2  2 -2
Curve Equation t 15312w1 [0,1,0,-8896,4376372] 2 15312w2 [0,1,0,-459456,118818612] 2
15312x (2 curves)	0	2- 3- 11- 29+	2- 3- -4  4 11-  0  2  8
Curve Equation t 15312x1 [0,1,0,-10008240,6869253204] 2 15312x2 [0,1,0,-72444080,-232509757356] 2
15312y (2 curves)	1	2- 3- 11- 29-	2- 3-  0  0 11-  6 -2 -2
Curve Equation t Generators 15312y1 [0,1,0,-227128,-41757100] 2 [400247958:18114114304:185193] 15312y2 [0,1,0,-3634488,-2668150188] 2 [8646:782496:1]
15312z (1 curve)	1	2- 3- 11- 29-	2- 3- -1  1 11-  0 -1 -1
Curve Equation t Generators 15312z1 [0,1,0,10384,230868] 1 [178:-2784:1]
15312ba (2 curves)	1	2- 3- 11- 29-	2- 3- -2  2 11-  2  6 -4
Curve Equation t Generators 15312ba1 [0,1,0,-7864,-270700] 2 [-52:18:1] 15312ba2 [0,1,0,-5544,-431244] 2 [180:2106:1]
15312bb (1 curve)	1	2- 3- 11- 29-	2- 3- -3 -3 11-  3 -2  1
Curve Equation t Generators 15312bb1 [0,1,0,-712,40436] 1 [38:-264:1]

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