Cremona's table of elliptic curves

38955 = 3 · 5 · 7² · 53

Class	r	Atkin-Lehner	Eigenvalues
38955a (1 curve)	1	3+ 5+ 7+ 53+	0 3+ 5+ 7+ -4  1  6  7
Curve Equation t Generators 38955a1 [0,-1,1,-418231,-588929244] 1 [2280564:123518600:729]
38955b (1 curve)	2	3+ 5+ 7- 53+	-1 3+ 5+ 7-  3 -5 -3  4
Curve Equation t Generators 38955b1 [1,1,1,-71,-232] 1 [-6:7:1]&[-4:4:1]
38955c (2 curves)	2	3+ 5+ 7- 53+	-1 3+ 5+ 7- -6 -2  0 -8
Curve Equation t Generators 38955c1 [1,1,1,-71296,7353968] 2 [34:2212:1]&[132:448:1] 38955c2 [1,1,1,-1143171,469975218] 2 [622:-91:1]&[-309:28329:1]
38955d (4 curves)	1	3+ 5+ 7- 53-	-1 3+ 5+ 7-  0 -6 -6 -4
Curve Equation t Generators 38955d1 [1,1,1,-28421,1832354] 4 [98:-31:1] 38955d2 [1,1,1,-28666,1798838] 4 [-64:1869:1] 38955d3 [1,1,1,10289,6364364] 2 [-11:2505:1] 38955d4 [1,1,1,-71541,-4906812] 2 [426:6279:1]
38955e (1 curve)	0	3+ 5- 7+ 53+	1 3+ 5- 7+  3  1 -1  8
Curve Equation t 38955e1 [1,1,0,-171427,-27345884] 1
38955f (1 curve)	1	3+ 5- 7+ 53-	2 3+ 5- 7+  2 -5 -4 -1
Curve Equation t Generators 38955f1 [0,-1,1,-800,-53467] 1 [362:241:8]
38955g (2 curves)	1	3+ 5- 7- 53+	0 3+ 5- 7-  0  4 -3 -8
Curve Equation t Generators 38955g1 [0,-1,1,-24075,-5279317] 1 [929:27807:1] 38955g2 [0,-1,1,214065,133306256] 1 [320:-15313:1]
38955h (4 curves)	1	3+ 5- 7- 53+	1 3+ 5- 7-  4 -6 -6  0
Curve Equation t Generators 38955h1 [1,1,0,1053,8856] 2 [20:186:1] 38955h2 [1,1,0,-5072,71331] 4 [510:627:8] 38955h3 [1,1,0,-38147,-2832654] 2 [30750:1888863:8] 38955h4 [1,1,0,-69997,7096216] 2 [246100:15105031:64]
38955i (1 curve)	1	3- 5+ 7- 53+	1 3- 5+ 7-  3 -1  1 -8
Curve Equation t Generators 38955i1 [1,0,1,-8399949,9354438391] 1 [1373:19563:1]
38955j (6 curves)	0	3- 5+ 7- 53-	-1 3- 5+ 7-  4  2  6  4
Curve Equation t 38955j1 [1,0,0,62229,10973976] 2 38955j2 [1,0,0,-526016,122858175] 4 38955j3 [1,0,0,-2434811,-1347295734] 2 38955j4 [1,0,0,-8029141,8755953800] 4 38955j5 [1,0,0,-7643266,9635517275] 2 38955j6 [1,0,0,-128465016,560424522825] 4
38955k (8 curves)	0	3- 5+ 7- 53-	-1 3- 5+ 7- -4  2 -2  4
Curve Equation t 38955k1 [1,0,0,-5845701,-5440538664] 2 38955k2 [1,0,0,-5845946,-5440059885] 4 38955k3 [1,0,0,-5261621,-6570495030] 2 38955k4 [1,0,0,-6434191,-4278981904] 4 38955k5 [1,0,0,17875934,-28914862579] 2 38955k6 [1,0,0,-40156236,94668242535] 4 38955k7 [1,0,0,16653139,341073225660] 2 38955k8 [1,0,0,-636518331,6181020511686] 2
38955l (1 curve)	0	3- 5+ 7- 53-	2 3- 5+ 7-  2  5  4  1
Curve Equation t 38955l1 [0,1,1,-16,151] 1
38955m (1 curve)	0	3- 5+ 7- 53-	2 3- 5+ 7- -2 -4 -3  4
Curve Equation t 38955m1 [0,1,1,-5406,-178279] 1
38955n (1 curve)	1	3- 5- 7+ 53+	-1 3- 5- 7+  3  5  3 -4
Curve Equation t Generators 38955n1 [1,0,0,-3480,69075] 1 [-45:390:1]
38955o (1 curve)	2	3- 5- 7- 53+	0 3- 5- 7- -4 -1 -6 -7
Curve Equation t Generators 38955o1 [0,1,1,-8535,1714556] 1 [60:1192:1]&[-130:802:1]
38955p (4 curves)	0	3- 5- 7- 53+	1 3- 5- 7-  0  2 -2 -8
Curve Equation t 38955p1 [1,0,1,-69998,200603] 2 38955p2 [1,0,1,-758203,-253334119] 4 38955p3 [1,0,1,-407608,-488373007] 2 38955p4 [1,0,1,-12120078,-16241764619] 2
38955q (4 curves)	0	3- 5- 7- 53+	1 3- 5- 7- -4  2  2 -4
Curve Equation t 38955q1 [1,0,1,-418,-2257] 2 38955q2 [1,0,1,-2623,49781] 4 38955q3 [1,0,1,1052,179141] 2 38955q4 [1,0,1,-41578,3259673] 2
38955r (1 curve)	0	3- 5- 7- 53+	-2 3- 5- 7-  2 -4 -1 -4
Curve Equation t 38955r1 [0,1,1,5080,-76114] 1
38955s (1 curve)	1	3- 5- 7- 53-	0 3- 5- 7- -4  0 -5  4
Curve Equation t Generators 38955s1 [0,1,1,-10845,432506] 1 [30:-368:1]

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

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