Cremona's table of elliptic curves

123504 = 2⁴ · 3 · 31 · 83

Class	r	Atkin-Lehner	Eigenvalues
123504a (1 curve)	1	2+ 3+ 31+ 83+	2+ 3+ -1 -3 -4  3 -1 -2
Curve Equation t Generators 123504a1 [0,-1,0,-36,-96] 1 [8:8:1]
123504b (2 curves)	0	2+ 3+ 31+ 83-	2+ 3+  0  0 -4  0 -2  0
Curve Equation t 123504b1 [0,-1,0,-3,-162] 2 123504b2 [0,-1,0,-468,-3696] 2
123504c (1 curve)	2	2+ 3+ 31+ 83-	2+ 3+ -2  0 -3  6 -3  0
Curve Equation t Generators 123504c1 [0,-1,0,-64,-32] 1 [-6:10:1]&[-4:12:1]
123504d (1 curve)	2	2+ 3+ 31+ 83-	2+ 3+ -2 -3 -6 -3  0 -6
Curve Equation t Generators 123504d1 [0,-1,0,-430689,108934893] 1 [372:243:1]&[5556:145349:27]
123504e (1 curve)	0	2+ 3+ 31+ 83-	2+ 3+ -3  1  0 -1 -3  8
Curve Equation t 123504e1 [0,-1,0,-132,-576] 1
123504f (1 curve)	1	2+ 3+ 31- 83-	2+ 3+ -1  3  0 -5  3  0
Curve Equation t Generators 123504f1 [0,-1,0,-316,2272] 1 [12:8:1]
123504g (1 curve)	0	2+ 3- 31+ 83+	2+ 3-  1 -1  2  6 -6 -3
Curve Equation t 123504g1 [0,1,0,-21920,-1256469] 1
123504h (1 curve)	2	2+ 3- 31+ 83+	2+ 3- -1 -1  0  1 -3 -2
Curve Equation t Generators 123504h1 [0,1,0,-16,-412] 1 [8:6:1]&[14:48:1]
123504i (1 curve)	0	2+ 3- 31+ 83+	2+ 3- -2  2  5  0 -3 -6
Curve Equation t 123504i1 [0,1,0,-20504,1108212] 1
123504j (1 curve)	0	2+ 3- 31+ 83+	2+ 3- -2 -3  0  5  2  4
Curve Equation t 123504j1 [0,1,0,-27529,-1445965] 1
123504k (1 curve)	0	2+ 3- 31+ 83+	2+ 3-  3 -3  0 -5  7  4
Curve Equation t 123504k1 [0,1,0,30036,-4858452] 1
123504l (4 curves)	1	2+ 3- 31+ 83-	2+ 3- -2  0  4  6 -2  0
Curve Equation t Generators 123504l1 [0,1,0,-1364,15036] 2 [-29529:53900:729] 123504l2 [0,1,0,-20584,1129796] 4 [-160:594:1] 123504l3 [0,1,0,-19344,1273140] 4 [-211596:793962:1331] 123504l4 [0,1,0,-329344,72638612] 2 [10132:1018314:1]
123504m (1 curve)	1	2+ 3- 31+ 83-	2+ 3- -2 -3 -2 -3  4  6
Curve Equation t Generators 123504m1 [0,1,0,-10129,-395653] 1 [-58:9:1]
123504n (1 curve)	1	2+ 3- 31- 83+	2+ 3- -1 -1  0  1 -7 -4
Curve Equation t Generators 123504n1 [0,1,0,-21804156,-93220182612] 1 [6246:119592:1]
123504o (1 curve)	1	2+ 3- 31- 83+	2+ 3- -3  4 -1  4  4 -1
Curve Equation t Generators 123504o1 [0,1,0,-15392,753444] 1 [64:-186:1]
123504p (1 curve)	2	2+ 3- 31- 83-	2+ 3-  1 -2 -2 -4 -2  4
Curve Equation t Generators 123504p1 [0,1,0,80,2996] 1 [-10:36:1]&[-1:54:1]
123504q (1 curve)	2	2+ 3- 31- 83-	2+ 3- -1 -5 -4 -7 -3  4
Curve Equation t Generators 123504q1 [0,1,0,-4216,104036] 1 [32:-54:1]&[-22:432:1]
123504r (1 curve)	2	2- 3+ 31+ 83+	2- 3+ -2  1 -4  1  2 -4
Curve Equation t Generators 123504r1 [0,-1,0,-269,1425] 1 [-7:54:1]&[1:34:1]
123504s (1 curve)	1	2- 3+ 31+ 83-	2- 3+ -1 -1  0  3  7 -6
Curve Equation t Generators 123504s1 [0,-1,0,-1394376,634877424] 1 [2932:147456:1]
123504t (1 curve)	1	2- 3+ 31+ 83-	2- 3+ -1  5  0  0 -2  3
Curve Equation t Generators 123504t1 [0,-1,0,-72046,-7422641] 1 [5249645:1075785867:125]
123504u (1 curve)	1	2- 3+ 31+ 83-	2- 3+  2  2  3  0  7  6
Curve Equation t Generators 123504u1 [0,-1,0,-64392,-5486352] 1 [1396772:31848448:2197]
123504v (2 curves)	1	2- 3+ 31+ 83-	2- 3+ -3 -5  0  5  3 -2
Curve Equation t Generators 123504v1 [0,-1,0,5248,-98304] 1 [64:704:1] 123504v2 [0,-1,0,-55232,6530304] 1 [160:1328:1]
123504w (2 curves)	1	2- 3+ 31- 83+	2- 3+  0 -4 -4 -6  6  6
Curve Equation t Generators 123504w1 [0,-1,0,-933,-11772] 2 [1962:30411:8] 123504w2 [0,-1,0,-15348,-726756] 2 [55950:767033:216]
123504x (1 curve)	1	2- 3+ 31- 83+	2- 3+ -1 -2  6  0  2  0
Curve Equation t Generators 123504x1 [0,-1,0,-1736,35184] 1 [-20:248:1]
123504y (1 curve)	1	2- 3+ 31- 83+	2- 3+  3  2  2  0  6  0
Curve Equation t Generators 123504y1 [0,-1,0,-2957464,-3607420688] 1 [28913797655436:4841342690734912:1027243729]
123504z (1 curve)	1	2- 3+ 31- 83+	2- 3+ -3 -1 -4  3  5  6
Curve Equation t Generators 123504z1 [0,-1,0,-1752,120816] 1 [-20:384:1]
123504ba (1 curve)	1	2- 3+ 31- 83+	2- 3+ -3 -1 -4 -3  3  0
Curve Equation t Generators 123504ba1 [0,-1,0,-1432,81136] 1 [12:-256:1]
123504bb (1 curve)	0	2- 3+ 31- 83-	2- 3+  1  0 -3 -4  4  5
Curve Equation t 123504bb1 [0,-1,0,13720,456048] 1
123504bc (1 curve)	0	2- 3+ 31- 83-	2- 3+  1 -2  6 -4 -2 -4
Curve Equation t 123504bc1 [0,-1,0,-5387120,4877505984] 1
123504bd (2 curves)	0	2- 3+ 31- 83-	2- 3+ -2  0  0  2  4  2
Curve Equation t 123504bd1 [0,-1,0,-59184,5552064] 2 123504bd2 [0,-1,0,-39344,9313728] 2
123504be (1 curve)	0	2- 3+ 31- 83-	2- 3+ -2 -2  3 -4  7  2
Curve Equation t 123504be1 [0,-1,0,-3664,-84032] 1
123504bf (1 curve)	1	2- 3- 31+ 83+	2- 3- -2 -2  1  4  5 -2
Curve Equation t Generators 123504bf1 [0,1,0,-34664,1080372] 1 [334:-5184:1]
123504bg (1 curve)	1	2- 3- 31+ 83+	2- 3-  3 -4  3 -4  4 -7
Curve Equation t Generators 123504bg1 [0,1,0,976,2928468] 1 [-44:1674:1]
123504bh (1 curve)	2	2- 3- 31- 83+	2- 3-  1 -3 -6  2 -6 -1
Curve Equation t Generators 123504bh1 [0,1,0,90,-2349] 1 [15:51:1]&[39:249:1]
123504bi (2 curves)	0	2- 3- 31- 83+	2- 3-  2  4 -4  4  0 -6
Curve Equation t 123504bi1 [0,1,0,-912,-9900] 2 123504bi2 [0,1,0,-3392,64500] 2
123504bj (1 curve)	0	2- 3- 31- 83+	2- 3-  2 -5 -4 -5  6  0
Curve Equation t 123504bj1 [0,1,0,-6001227717,-178169621719437] 1
123504bk (1 curve)	0	2- 3- 31- 83+	2- 3- -2 -1  6  1 -4  2
Curve Equation t 123504bk1 [0,1,0,-149,-573] 1
123504bl (1 curve)	2	2- 3- 31- 83+	2- 3- -3  0 -4  0 -4  0
Curve Equation t Generators 123504bl1 [0,1,0,-11352,461844] 1 [54:96:1]&[36:318:1]
123504bm (1 curve)	0	2- 3- 31- 83+	2- 3- -3 -2  1 -4  0  1
Curve Equation t 123504bm1 [0,1,0,-30292,-2039704] 1
123504bn (1 curve)	1	2- 3- 31- 83-	2- 3-  1 -1 -4  1  3  2
Curve Equation t Generators 123504bn1 [0,1,0,-1681480,841879412] 1 [926:8928:1]

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