Cremona's table of elliptic curves

15675 = 3 · 5² · 11 · 19

Class	r	Atkin-Lehner	Eigenvalues
15675a (1 curve)	1	3+ 5+ 11+ 19+	0 3+ 5+ -2 11+ -1  3 19+
Curve Equation t Generators 15675a1 [0,-1,1,-33,-157] 1 [17:62:1]
15675b (6 curves)	1	3+ 5+ 11+ 19+	1 3+ 5+  0 11+  2 -2 19+
Curve Equation t Generators 15675b1 [1,1,0,-24500,1465875] 2 [170:1415:1] 15675b2 [1,1,0,-24625,1450000] 4 [180:1610:1] 15675b3 [1,1,0,-52750,-2515625] 4 [16020:5165:64] 15675b4 [1,1,0,1500,4402125] 2 [-60:2055:1] 15675b5 [1,1,0,-729625,-240098750] 2 [27740820:-18277569235:64] 15675b6 [1,1,0,174125,-18170000] 2 [17036314686:-11224722997565:39304]
15675c (1 curve)	1	3+ 5+ 11+ 19+	1 3+ 5+  2 11+  3  3 19+
Curve Equation t Generators 15675c1 [1,1,0,70,-405] 1 [214:3035:1]
15675d (1 curve)	1	3+ 5+ 11+ 19+	1 3+ 5+ -3 11+ -7  7 19+
Curve Equation t Generators 15675d1 [1,1,0,-380,-3015] 1 [-312:157:27]
15675e (4 curves)	2	3+ 5+ 11+ 19-	-1 3+ 5+ -4 11+ -2  2 19-
Curve Equation t Generators 15675e1 [1,1,1,-1188,-14844] 2 [-24:35:1]&[-20:47:1] 15675e2 [1,1,1,-4313,91406] 4 [-70:272:1]&[-20:422:1] 15675e3 [1,1,1,-66188,6526406] 4 [-84:3433:1]&[30:2122:1] 15675e4 [1,1,1,7562,518906] 2 [-50:162:1]&[50:987:1]
15675f (1 curve)	0	3+ 5+ 11+ 19-	2 3+ 5+  2 11+ -5  2 19-
Curve Equation t 15675f1 [0,-1,1,-9002708,-10393995307] 1
15675g (1 curve)	0	3+ 5+ 11+ 19-	-2 3+ 5+  2 11+  3  3 19-
Curve Equation t 15675g1 [0,-1,1,342,-8032] 1
15675h (4 curves)	2	3+ 5+ 11- 19+	-1 3+ 5+ -4 11- -2 -6 19+
Curve Equation t Generators 15675h1 [1,1,1,-563,21656] 4 [-30:127:1]&[-24:160:1] 15675h2 [1,1,1,-15688,747656] 4 [-50:1212:1]&[26:585:1] 15675h3 [1,1,1,-22563,18906] 2 [-150:312:1]&[-61:1113:1] 15675h4 [1,1,1,-250813,48242906] 2 [290:-108:1]&[301:213:1]
15675i (2 curves)	0	3+ 5+ 11- 19+	2 3+ 5+  2 11-  1 -3 19+
Curve Equation t 15675i1 [0,-1,1,44242,-2275207] 1 15675i2 [0,-1,1,-7137008,-7336450207] 1
15675j (2 curves)	1	3+ 5+ 11- 19-	0 3+ 5+ -2 11-  1 -3 19-
Curve Equation t Generators 15675j1 [0,-1,1,-9083,-356182] 1 [112:137:1] 15675j2 [0,-1,1,-751583,-250541557] 1 [1057:11612:1]
15675k (1 curve)	1	3+ 5+ 11- 19-	0 3+ 5+ -4 11-  2 -5 19-
Curve Equation t Generators 15675k1 [0,-1,1,1667,20943] 1 [21:254:1]
15675l (1 curve)	1	3+ 5+ 11- 19-	1 3+ 5+ -1 11-  3  3 19-
Curve Equation t Generators 15675l1 [1,1,0,-4750950,1637902125] 1 [76:35701:1]
15675m (1 curve)	1	3+ 5+ 11- 19-	1 3+ 5+  2 11- -3 -3 19-
Curve Equation t Generators 15675m1 [1,1,0,-245,1380] 1 [4:20:1]
15675n (2 curves)	1	3+ 5+ 11- 19-	1 3+ 5+ -4 11- -6  0 19-
Curve Equation t Generators 15675n1 [1,1,0,-68900,-18913125] 2 [4706:319991:1] 15675n2 [1,1,0,-1566275,-754124250] 2 [-706:980:1]
15675o (2 curves)	1	3+ 5- 11- 19+	2 3+ 5-  2 11-  6 -3 19+
Curve Equation t Generators 15675o1 [0,-1,1,242,-10857] 1 [1386:18241:8] 15675o2 [0,-1,1,-38708,3056693] 1 [986:3021:8]
15675p (1 curve)	0	3+ 5- 11- 19-	1 3+ 5-  1 11- -1  5 19-
Curve Equation t 15675p1 [1,1,0,-25,-50] 1
15675q (2 curves)	0	3+ 5- 11- 19-	1 3+ 5-  2 11-  2 -8 19-
Curve Equation t 15675q1 [1,1,0,-10695,-462600] 2 15675q2 [1,1,0,-174720,-28182825] 2
15675r (2 curves)	0	3+ 5- 11- 19-	2 3+ 5-  2 11-  1  2 19-
Curve Equation t 15675r1 [0,-1,1,-5258,-145057] 1 15675r2 [0,-1,1,33792,506693] 1
15675s (4 curves)	1	3- 5+ 11- 19+	1 3- 5+  0 11-  2  2 19+
Curve Equation t Generators 15675s1 [1,0,1,2999,9023] 2 [217:3191:1] 15675s2 [1,0,1,-12126,69523] 4 [-37:702:1] 15675s3 [1,0,1,-123501,-16636727] 2 [3286:9603:8] 15675s4 [1,0,1,-142751,20708273] 2 [237:331:1]
15675t (2 curves)	1	3- 5+ 11- 19+	-2 3- 5+ -2 11- -6  3 19+
Curve Equation t Generators 15675t1 [0,1,1,-1548,23834] 5 [-28:214:1] 15675t2 [0,1,1,6042,-1345006] 1 [354290:6736867:1000]
15675u (2 curves)	0	3- 5+ 11- 19-	1 3- 5+  4 11-  2  4 19-
Curve Equation t 15675u1 [1,0,1,-776,10073] 2 15675u2 [1,0,1,-13151,579323] 2
15675v (1 curve)	0	3- 5+ 11- 19-	-1 3- 5+ -1 11-  1 -5 19-
Curve Equation t 15675v1 [1,0,0,-638,-4983] 1
15675w (2 curves)	0	3- 5+ 11- 19-	-2 3- 5+ -2 11- -1 -2 19-
Curve Equation t 15675w1 [0,1,1,1352,4594] 5 15675w2 [0,1,1,-131458,-18395006] 1
15675x (1 curve)	1	3- 5- 11+ 19+	-1 3- 5- -2 11+ -3 -3 19+
Curve Equation t Generators 15675x1 [1,0,0,1737,-54108] 1 [27:99:1]
15675y (1 curve)	1	3- 5- 11+ 19+	-1 3- 5-  3 11+  7 -7 19+
Curve Equation t Generators 15675y1 [1,0,0,-9513,-357858] 1 [-57:30:1]
15675z (1 curve)	0	3- 5- 11+ 19-	-2 3- 5- -2 11+  5 -2 19-
Curve Equation t 15675z1 [0,1,1,-360108,-83296006] 1
15675ba (1 curve)	1	3- 5- 11- 19-	0 3- 5-  4 11- -2  5 19-
Curve Equation t Generators 15675ba1 [0,1,1,67,194] 1 [-2:7:1]
15675bb (1 curve)	1	3- 5- 11- 19-	-1 3- 5-  1 11- -3 -3 19-
Curve Equation t Generators 15675bb1 [1,0,0,-190038,13103217] 1 [57:1539:1]
15675bc (2 curves)	1	3- 5- 11- 19-	-1 3- 5- -2 11- -2  8 19-
Curve Equation t Generators 15675bc1 [1,0,0,-267388,-57290233] 2 [1331:43439:1] 15675bc2 [1,0,0,-4368013,-3514117108] 2 [-1207:752:1]
15675bd (1 curve)	1	3- 5- 11- 19-	-1 3- 5- -2 11-  3  3 19-
Curve Equation t Generators 15675bd1 [1,0,0,-6138,184767] 1 [77:374:1]

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

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