Cremona's table of elliptic curves

5814 = 2 · 3² · 17 · 19

Class	r	Atkin-Lehner	Eigenvalues
5814a (1 curve)	1	2+ 3+ 17+ 19+	2+ 3+  1 -3 -2  2 17+ 19+
Curve Equation t Generators 5814a1 [1,-1,0,861,-1259] 1 [6:61:1]
5814b (1 curve)	2	2+ 3+ 17- 19+	2+ 3+ -1 -5 -2 -6 17- 19+
Curve Equation t Generators 5814b1 [1,-1,0,-30,72] 1 [6:-12:1]&[-2:12:1]
5814c (1 curve)	1	2+ 3+ 17- 19-	2+ 3+ -1  1  2 -6 17- 19-
Curve Equation t Generators 5814c1 [1,-1,0,-1305,22637] 1 [26:63:1]
5814d (2 curves)	0	2+ 3- 17+ 19+	2+ 3- -1  3 -2  4 17+ 19+
Curve Equation t 5814d1 [1,-1,0,-6236550,-5993444556] 1 5814d2 [1,-1,0,32383710,-13967018136] 1
5814e (4 curves)	1	2+ 3- 17+ 19-	2+ 3-  0  2  0  2 17+ 19-
Curve Equation t Generators 5814e1 [1,-1,0,-1377,-13635] 2 [-11:15:1] 5814e2 [1,-1,0,-8217,277749] 2 [61:-4:1] 5814e3 [1,-1,0,-41157,3223233] 6 [-1795:244924:125] 5814e4 [1,-1,0,-658467,205824375] 6 [24444849:2559510435:2197]
5814f (2 curves)	1	2+ 3- 17- 19+	2+ 3-  2 -2  4  0 17- 19+
Curve Equation t Generators 5814f1 [1,-1,0,-1251,7317] 2 [87:699:1] 5814f2 [1,-1,0,4509,52245] 2 [3:255:1]
5814g (2 curves)	1	2+ 3- 17- 19+	2+ 3- -2  0  4  2 17- 19+
Curve Equation t Generators 5814g1 [1,-1,0,-693,1381] 2 [-7:80:1] 5814g2 [1,-1,0,2727,8905] 2 [35:365:1]
5814h (2 curves)	1	2+ 3- 17- 19+	2+ 3- -4  4 -2 -6 17- 19+
Curve Equation t Generators 5814h1 [1,-1,0,-2169,-38151] 2 [-27:27:1] 5814h2 [1,-1,0,-34659,-2474901] 2 [237:1488:1]
5814i (2 curves)	0	2+ 3- 17- 19-	2+ 3-  2  2  6  2 17- 19-
Curve Equation t 5814i1 [1,-1,0,-486,2020] 2 5814i2 [1,-1,0,-3906,-91688] 2
5814j (2 curves)	0	2+ 3- 17- 19-	2+ 3-  2 -2  2 -6 17- 19-
Curve Equation t 5814j1 [1,-1,0,-3651,-83755] 2 5814j2 [1,-1,0,-58371,-5413483] 2
5814k (2 curves)	2	2+ 3- 17- 19-	2+ 3- -3 -1 -6 -4 17- 19-
Curve Equation t Generators 5814k1 [1,-1,0,54,-972] 1 [9:9:1]&[12:30:1] 5814k2 [1,-1,0,-486,26568] 3 [-27:153:1]&[-18:180:1]
5814l (1 curve)	0	2- 3+ 17+ 19+	2- 3+  1 -5  2 -6 17+ 19+
Curve Equation t 5814l1 [1,-1,1,-272,-1673] 1
5814m (1 curve)	1	2- 3+ 17+ 19-	2- 3+  1  1 -2 -6 17+ 19-
Curve Equation t Generators 5814m1 [1,-1,1,-11747,-599453] 1 [151:950:1]
5814n (1 curve)	1	2- 3+ 17- 19+	2- 3+ -1 -3  2  2 17- 19+
Curve Equation t Generators 5814n1 [1,-1,1,7747,26245] 1 [67:884:1]
5814o (1 curve)	1	2- 3- 17+ 19+	2- 3- -1 -3  2  0 17+ 19+
Curve Equation t Generators 5814o1 [1,-1,1,-41648,-3394285] 1 [585:12829:1]
5814p (4 curves)	1	2- 3- 17+ 19+	2- 3-  2  0 -4 -6 17+ 19+
Curve Equation t Generators 5814p1 [1,-1,1,-194,1073] 2 [-9:49:1] 5814p2 [1,-1,1,-374,-1087] 4 [-11:45:1] 5814p3 [1,-1,1,-4964,-133279] 2 [-2540:1503:64] 5814p4 [1,-1,1,1336,-9295] 2 [254:1899:8]
5814q (2 curves)	0	2- 3- 17- 19+	2- 3- -2 -2  4  4 17- 19+
Curve Equation t 5814q1 [1,-1,1,-176,-849] 2 5814q2 [1,-1,1,-86,-1785] 2
5814r (2 curves)	0	2- 3- 17- 19+	2- 3- -2 -2 -6 -6 17- 19+
Curve Equation t 5814r1 [1,-1,1,-1363779986,18656468552337] 2 5814r2 [1,-1,1,-21591794066,1221187631991441] 2
5814s (2 curves)	1	2- 3- 17- 19-	2- 3-  0  0 -4  4 17- 19-
Curve Equation t Generators 5814s1 [1,-1,1,-2705,50433] 2 [-9:276:1] 5814s2 [1,-1,1,3055,232449] 2 [-7:462:1]
5814t (2 curves)	1	2- 3- 17- 19-	2- 3- -4  2  0 -2 17- 19-
Curve Equation t Generators 5814t1 [1,-1,1,-87062,-9686235] 2 [-183:395:1] 5814t2 [1,-1,1,5098,-29224155] 2 [545:11355:1]
5814u (2 curves)	1	2- 3- 17- 19-	2- 3- -4 -2 -4  6 17- 19-
Curve Equation t Generators 5814u1 [1,-1,1,-1127,14815] 2 [17:10:1] 5814u2 [1,-1,1,-767,24175] 2 [-23:182:1]

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

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