Cremona's table of elliptic curves

13300 = 2² · 5² · 7 · 19

Class	r	Atkin-Lehner	Eigenvalues
13300a (1 curve)	0	2- 5+ 7+ 19+	2-  1 5+ 7+  3  3 -5 19+
Curve Equation t 13300a1 [0,1,0,-3533,-111937] 1
13300b (1 curve)	0	2- 5+ 7+ 19+	2- -1 5+ 7+ -2  0 -1 19+
Curve Equation t 13300b1 [0,-1,0,-81908,-8995688] 1
13300c (1 curve)	0	2- 5+ 7+ 19+	2-  2 5+ 7+ -5  6  2 19+
Curve Equation t 13300c1 [0,-1,0,8542,1447037] 1
13300d (2 curves)	1	2- 5+ 7+ 19-	2-  0 5+ 7+  4 -4 -6 19-
Curve Equation t Generators 13300d1 [0,0,0,100,625] 2 [0:25:1] 13300d2 [0,0,0,-775,6750] 2 [-9:114:1]
13300e (2 curves)	1	2- 5+ 7+ 19-	2- -1 5+ 7+ -3  1  0 19-
Curve Equation t Generators 13300e1 [0,-1,0,-113,502] 1 [6:2:1] 13300e2 [0,-1,0,-313,-1438] 1 [-7:19:1]
13300f (2 curves)	1	2- 5+ 7+ 19-	2- -1 5+ 7+ -6  4 -3 19-
Curve Equation t Generators 13300f1 [0,-1,0,492,11512] 1 [-3:100:1] 13300f2 [0,-1,0,-4508,-348488] 1 [122:950:1]
13300g (4 curves)	1	2- 5+ 7+ 19-	2-  2 5+ 7+  0 -2  6 19-
Curve Equation t Generators 13300g1 [0,-1,0,-7133,251762] 2 [26:3825:8] 13300g2 [0,-1,0,-116508,15345512] 2 [863209:2544138:4913] 13300g3 [0,-1,0,42867,-85738] 2 [47:1425:1] 13300g4 [0,-1,0,-171508,-514488] 2 [-174:4902:1]
13300h (2 curves)	1	2- 5+ 7+ 19-	2-  2 5+ 7+  3 -2 -6 19-
Curve Equation t Generators 13300h1 [0,-1,0,-5258,148517] 1 [43:9:1] 13300h2 [0,-1,0,-4758,177377] 1 [116:1083:1]
13300i (1 curve)	1	2- 5+ 7- 19+	2-  1 5+ 7-  3  5 -4 19+
Curve Equation t Generators 13300i1 [0,1,0,-833,-6412] 1 [-3020:1744:125]
13300j (1 curve)	1	2- 5+ 7- 19+	2- -1 5+ 7- -2  0  1 19+
Curve Equation t Generators 13300j1 [0,-1,0,-48508,4215512] 1 [-38:2450:1]
13300k (1 curve)	1	2- 5+ 7- 19+	2- -1 5+ 7-  3  5  1 19+
Curve Equation t Generators 13300k1 [0,-1,0,56867,-168941863] 1 [4004896:432801475:343]
13300l (2 curves)	1	2- 5+ 7- 19+	2-  2 5+ 7-  0  2 -2 19+
Curve Equation t Generators 13300l1 [0,-1,0,-133,3762] 2 [-54:525:8] 13300l2 [0,-1,0,-4508,117512] 2 [15342:83825:216]
13300m (1 curve)	0	2- 5+ 7- 19-	2-  0 5+ 7- -1  4  6 19-
Curve Equation t 13300m1 [0,0,0,-13675625,-19465784375] 1
13300n (1 curve)	0	2- 5+ 7- 19-	2-  3 5+ 7-  2  4  3 19-
Curve Equation t 13300n1 [0,0,0,270425,-4077250] 1
13300o (1 curve)	0	2- 5+ 7- 19-	2-  3 5+ 7-  3  7 -4 19-
Curve Equation t 13300o1 [0,0,0,-1300,-17635] 1
13300p (1 curve)	1	2- 5- 7+ 19+	2- -1 5- 7+  3 -5  4 19+
Curve Equation t Generators 13300p1 [0,-1,0,-33,-38] 1 [-3:5:1]
13300q (1 curve)	0	2- 5- 7+ 19-	2-  0 5- 7+ -1 -4 -6 19-
Curve Equation t 13300q1 [0,0,0,-547025,-155726275] 1
13300r (1 curve)	0	2- 5- 7+ 19-	2-  1 5- 7+ -5  3 -3 19-
Curve Equation t 13300r1 [0,1,0,-29742333,62423572463] 1
13300s (2 curves)	2	2- 5- 7+ 19-	2- -2 5- 7+ -4 -6  0 19-
Curve Equation t Generators 13300s1 [0,1,0,-113,328] 2 [-11:19:1]&[-8:28:1] 13300s2 [0,1,0,-588,-5372] 2 [-16:14:1]&[-12:10:1]
13300t (1 curve)	0	2- 5- 7+ 19-	2- -3 5- 7+  3 -7  4 19-
Curve Equation t 13300t1 [0,0,0,-32500,-2204375] 1
13300u (1 curve)	2	2- 5- 7- 19+	2- -2 5- 7- -5 -6 -2 19+
Curve Equation t Generators 13300u1 [0,1,0,342,11713] 1 [62545530:562350593:857375]&[-7:95:1]
13300v (2 curves)	1	2- 5- 7- 19-	2-  1 5- 7- -3 -1  0 19-
Curve Equation t Generators 13300v1 [0,1,0,-2833,57088] 3 [12:158:1] 13300v2 [0,1,0,-7833,-195412] 1 [-56:266:1]
13300w (1 curve)	1	2- 5- 7- 19-	2- -1 5- 7- -5 -3  3 19-
Curve Equation t Generators 13300w1 [0,-1,0,-1189693,499864457] 1 [1807:65170:1]
13300x (2 curves)	1	2- 5- 7- 19-	2-  2 5- 7- -4  6  0 19-
Curve Equation t Generators 13300x1 [0,-1,0,-2833,46662] 2 [-6:1767:8] 13300x2 [0,-1,0,-14708,-642088] 2 [-12162:14291:216]
13300y (2 curves)	1	2- 5- 7- 19-	2- -2 5- 7-  3  2  6 19-
Curve Equation t Generators 13300y1 [0,1,0,-131458,18301713] 3 [158:1225:1] 13300y2 [0,1,0,-118958,21934213] 1 [217:2527:1]

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