Cremona's table of elliptic curves

15561 = 3² · 7 · 13 · 19

Class	r	Atkin-Lehner	Eigenvalues
15561a (2 curves)	1	3+ 7+ 13- 19-	1 3+  4 7+ -6 13-  0 19-
Curve Equation t Generators 15561a1 [1,-1,0,-1365,5408] 2 [-2444:2977:64] 15561a2 [1,-1,0,5250,38483] 2 [74:873:1]
15561b (2 curves)	1	3+ 7+ 13- 19-	-1 3+ -4 7+  6 13-  0 19-
Curve Equation t Generators 15561b1 [1,-1,1,-152,-150] 2 [-4:21:1] 15561b2 [1,-1,1,583,-1620] 2 [6:42:1]
15561c (2 curves)	1	3- 7+ 13+ 19-	1 3- -2 7+ -2 13+ -4 19-
Curve Equation t Generators 15561c1 [1,-1,0,-243,0] 2 [16:-4:1] 15561c2 [1,-1,0,972,-729] 2 [30:219:1]
15561d (4 curves)	1	3- 7+ 13+ 19-	-1 3-  2 7+ -4 13+ -2 19-
Curve Equation t Generators 15561d1 [1,-1,1,166,13088] 2 [4:115:1] 15561d2 [1,-1,1,-7439,241238] 4 [-18:616:1] 15561d3 [1,-1,1,-18554,-639070] 2 [193:1618:1] 15561d4 [1,-1,1,-118004,15631886] 2 [-72:4909:1]
15561e (1 curve)	1	3- 7+ 13+ 19-	-1 3- -3 7+ -3 13+ -4 19-
Curve Equation t Generators 15561e1 [1,-1,1,-614,6094] 1 [-2:86:1]
15561f (1 curve)	1	3- 7+ 13- 19+	0 3-  4 7+  3 13- -2 19+
Curve Equation t Generators 15561f1 [0,0,1,-116598,15324561] 1 [185:292:1]
15561g (1 curve)	1	3- 7+ 13- 19+	1 3-  1 7+ -3 13-  0 19+
Curve Equation t Generators 15561g1 [1,-1,0,-24039,1619946] 1 [-30:1536:1]
15561h (1 curve)	0	3- 7+ 13- 19-	2 3-  2 7+  3 13- -6 19-
Curve Equation t 15561h1 [0,0,1,-5619,-168917] 1
15561i (1 curve)	1	3- 7- 13+ 19+	1 3- -1 7- -5 13+  8 19+
Curve Equation t Generators 15561i1 [1,-1,0,-180,-3483] 1 [36:171:1]
15561j (2 curves)	1	3- 7- 13+ 19+	1 3-  2 7- -2 13+ -4 19+
Curve Equation t Generators 15561j1 [1,-1,0,-15156,716067] 2 [82:99:1] 15561j2 [1,-1,0,-4221,1719900] 2 [28:1260:1]
15561k (4 curves)	1	3- 7- 13+ 19+	1 3-  2 7-  4 13+  2 19+
Curve Equation t Generators 15561k1 [1,-1,0,-3591,63504] 2 [0:252:1] 15561k2 [1,-1,0,-19836,-1018413] 4 [3886:240117:1] 15561k3 [1,-1,0,-313101,-67354956] 2 [31214:1912683:8] 15561k4 [1,-1,0,13509,-4119498] 2 [248596:15374157:64]
15561l (4 curves)	1	3- 7- 13+ 19+	1 3- -2 7-  0 13+  2 19+
Curve Equation t Generators 15561l1 [1,-1,0,-1953,-32144] 2 [224:3164:1] 15561l2 [1,-1,0,-4158,55615] 4 [-34:413:1] 15561l3 [1,-1,0,-57393,5304586] 2 [-130:3314:1] 15561l4 [1,-1,0,13797,396760] 2 [2612:63539:64]
15561m (1 curve)	1	3- 7- 13+ 19+	-2 3-  2 7-  1 13+  2 19+
Curve Equation t Generators 15561m1 [0,0,1,-129,864] 1 [-1:31:1]
15561n (3 curves)	1	3- 7- 13- 19-	0 3-  0 7- -3 13-  6 19-
Curve Equation t Generators 15561n1 [0,0,1,-3090,-66546] 1 [3154:61961:8] 15561n2 [0,0,1,9060,-354015] 3 [113:1453:1] 15561n3 [0,0,1,-89220,15933438] 3 [-734:38651:8]
15561o (4 curves)	1	3- 7- 13- 19-	-1 3- -2 7-  4 13-  6 19-
Curve Equation t Generators 15561o1 [1,-1,1,-2921,-60024] 2 [90:587:1] 15561o2 [1,-1,1,-2966,-58044] 4 [-28:63:1] 15561o3 [1,-1,1,-8951,255570] 2 [-52:786:1] 15561o4 [1,-1,1,2299,-245478] 2 [84:689:1]

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

Part of Computational Number Theory
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