Cremona's table of elliptic curves

15504 = 2⁴ · 3 · 17 · 19

Class	r	Atkin-Lehner	Eigenvalues
15504a (2 curves)	1	2+ 3+ 17+ 19+	2+ 3+  4  0  0 -4 17+ 19+
Curve Equation t Generators 15504a1 [0,-1,0,-49416,-4211712] 2 [36020:290292:125] 15504a2 [0,-1,0,-49376,-4218912] 2 [932:27540:1]
15504b (1 curve)	1	2+ 3+ 17- 19-	2+ 3+  1  3 -2  0 17- 19-
Curve Equation t Generators 15504b1 [0,-1,0,0,48] 1 [-2:6:1]
15504c (6 curves)	1	2+ 3+ 17- 19-	2+ 3+ -2  0  4  6 17- 19-
Curve Equation t Generators 15504c1 [0,-1,0,-2079,-42282] 2 [33368771833530:-1036253218189904:34486806375] 15504c2 [0,-1,0,-34884,-2496096] 4 [275192424:2120049855:1124864] 15504c3 [0,-1,0,-558144,-160311312] 2 [14798617518360:-905418270412271:3796416000] 15504c4 [0,-1,0,-36504,-2249856] 8 [417684:51944860:27] 15504c5 [0,-1,0,-166464,24054048] 4 [357:3162:1] 15504c6 [0,-1,0,67536,-12820320] 4 [620:16340:1]
15504d (2 curves)	0	2+ 3- 17+ 19+	2+ 3- -2  2 -2  2 17+ 19+
Curve Equation t 15504d1 [0,1,0,-14764,685580] 2 15504d2 [0,1,0,-15144,648036] 2
15504e (2 curves)	1	2+ 3- 17+ 19-	2+ 3-  0  2 -4  2 17+ 19-
Curve Equation t Generators 15504e1 [0,1,0,-3168,-30780] 2 [-48:114:1] 15504e2 [0,1,0,11272,-221388] 2 [28:342:1]
15504f (2 curves)	1	2+ 3- 17+ 19-	2+ 3- -2  2  2 -6 17+ 19-
Curve Equation t Generators 15504f1 [0,1,0,-484,-4228] 2 [-13:6:1] 15504f2 [0,1,0,-864,2916] 2 [-24:102:1]
15504g (1 curve)	1	2+ 3- 17+ 19-	2+ 3-  3 -1  2 -4 17+ 19-
Curve Equation t Generators 15504g1 [0,1,0,-4113224,3209491428] 1 [1096:4374:1]
15504h (1 curve)	1	2+ 3- 17+ 19-	2+ 3-  3 -3 -2  0 17+ 19-
Curve Equation t Generators 15504h1 [0,1,0,-2224,-41212] 1 [56:114:1]
15504i (1 curve)	1	2+ 3- 17- 19+	2+ 3-  1 -1 -2 -4 17- 19+
Curve Equation t Generators 15504i1 [0,1,0,1240,-13788] 1 [16:102:1]
15504j (4 curves)	1	2+ 3- 17- 19+	2+ 3-  2  0  0 -2 17- 19+
Curve Equation t Generators 15504j1 [0,1,0,-532,3068] 2 [-1:60:1] 15504j2 [0,1,0,-7752,260100] 4 [0:510:1] 15504j3 [0,1,0,-124032,16771860] 2 [228:630:1] 15504j4 [0,1,0,-6992,313908] 4 [-33:714:1]
15504k (4 curves)	0	2+ 3- 17- 19-	2+ 3- -2  4  0 -2 17- 19-
Curve Equation t 15504k1 [0,1,0,81,0] 2 15504k2 [0,1,0,-324,-324] 4 15504k3 [0,1,0,-3744,-89244] 2 15504k4 [0,1,0,-3384,74340] 4
15504l (2 curves)	0	2- 3+ 17+ 19+	2- 3+  3  1 -6 -4 17+ 19+
Curve Equation t 15504l1 [0,-1,0,96,-2304] 1 15504l2 [0,-1,0,-864,62976] 1
15504m (1 curve)	0	2- 3+ 17+ 19+	2- 3+  3 -3  0  4 17+ 19+
Curve Equation t 15504m1 [0,-1,0,-84,396] 1
15504n (2 curves)	1	2- 3+ 17+ 19-	2- 3+  2 -2 -2  2 17+ 19-
Curve Equation t Generators 15504n1 [0,-1,0,-152,48] 2 [-4:24:1] 15504n2 [0,-1,0,-1672,26800] 2 [34:90:1]
15504o (2 curves)	1	2- 3+ 17+ 19-	2- 3+ -2  2  4  0 17+ 19-
Curve Equation t Generators 15504o1 [0,-1,0,-2224,17344] 2 [129:1364:1] 15504o2 [0,-1,0,8016,123840] 2 [2:374:1]
15504p (1 curve)	0	2- 3+ 17- 19-	2- 3+  1  3  2  0 17- 19-
Curve Equation t 15504p1 [0,-1,0,-74040,-8045712] 1
15504q (2 curves)	0	2- 3+ 17- 19-	2- 3+  1 -3 -2  4 17- 19-
Curve Equation t 15504q1 [0,-1,0,-11087200,-14206683392] 1 15504q2 [0,-1,0,57571040,-33107005952] 1
15504r (4 curves)	2	2- 3+ 17- 19-	2- 3+ -2  0 -4 -6 17- 19-
Curve Equation t Generators 15504r1 [0,-1,0,-344,2544] 2 [-20:32:1]&[-6:66:1] 15504r2 [0,-1,0,-664,-2576] 4 [-22:30:1]&[-20:48:1] 15504r3 [0,-1,0,-8824,-315920] 2 [-54:14:1]&[116:456:1] 15504r4 [0,-1,0,2376,-22032] 2 [18:162:1]&[26:238:1]
15504s (2 curves)	1	2- 3- 17+ 19+	2- 3-  0  0 -4  4 17+ 19+
Curve Equation t Generators 15504s1 [0,1,0,-4808,116340] 2 [12:246:1] 15504s2 [0,1,0,5432,554612] 2 [-34:576:1]
15504t (2 curves)	1	2- 3- 17+ 19+	2- 3- -2 -2  0 -2 17+ 19+
Curve Equation t Generators 15504t1 [0,1,0,11,26] 2 [858:4940:27] 15504t2 [0,1,0,-84,216] 2 [-9:18:1]
15504u (2 curves)	1	2- 3- 17+ 19+	2- 3- -2 -2  6  2 17+ 19+
Curve Equation t Generators 15504u1 [0,1,0,-864,4212] 2 [-12:114:1] 15504u2 [0,1,0,-6944,-221964] 2 [-44:18:1]
15504v (2 curves)	1	2- 3- 17+ 19+	2- 3-  4 -2  0 -2 17+ 19+
Curve Equation t Generators 15504v1 [0,1,0,-154776,-23063148] 2 [-252:30:1] 15504v2 [0,1,0,9064,-69266028] 2 [1078:34560:1]
15504w (1 curve)	0	2- 3- 17+ 19-	2- 3- -1 -1  4  4 17+ 19-
Curve Equation t 15504w1 [0,1,0,-1196,15528] 1
15504x (1 curve)	0	2- 3- 17+ 19-	2- 3- -1  3  4 -4 17+ 19-
Curve Equation t 15504x1 [0,1,0,-29316,-8611992] 1
15504y (2 curves)	0	2- 3- 17+ 19-	2- 3-  2  2  4  4 17+ 19-
Curve Equation t 15504y1 [0,1,0,-312,-2220] 2 15504y2 [0,1,0,-152,-4332] 2
15504z (2 curves)	0	2- 3- 17+ 19-	2- 3-  2  2 -6 -6 17+ 19-
Curve Equation t 15504z1 [0,1,0,-2424497752,44221123940372] 2 15504z2 [0,1,0,-38385411672,2894641389260820] 2
15504ba (2 curves)	0	2- 3- 17+ 19-	2- 3-  2 -4 -6 -6 17+ 19-
Curve Equation t 15504ba1 [0,1,0,-1997,-52542] 2 15504ba2 [0,1,0,-36292,-2672680] 2

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