Cremona's table of elliptic curves

37240 = 2³ · 5 · 7² · 19

Class	r	Atkin-Lehner	Eigenvalues
37240a (2 curves)	0	2+ 5+ 7- 19+	2+  0 5+ 7-  0  6  6 19+
Curve Equation t 37240a1 [0,0,0,-203,1078] 2 37240a2 [0,0,0,77,3822] 2
37240b (2 curves)	0	2+ 5+ 7- 19+	2+  2 5+ 7- -4 -4  2 19+
Curve Equation t 37240b1 [0,-1,0,-1731,-23344] 2 37240b2 [0,-1,0,2924,-131340] 2
37240c (1 curve)	1	2+ 5+ 7- 19-	2+  0 5+ 7- -1 -3  3 19-
Curve Equation t Generators 37240c1 [0,0,0,-11123,461678] 1 [-14:784:1]
37240d (4 curves)	1	2+ 5+ 7- 19-	2+  0 5+ 7-  4  2 -2 19-
Curve Equation t Generators 37240d1 [0,0,0,-47927978,-128720272023] 2 [15831153408:2058921087839:804357] 37240d2 [0,0,0,-768528103,-8200450512198] 4 [1412141014758287935317:6354380400544677965464:44101841727625443] 37240d3 [0,0,0,-770208803,-8162781655378] 2 [-129245757910753:-29551439308924:8703679193] 37240d4 [0,0,0,-12296449403,-524828854740218] 2 [13240228135191899218199345522516057814:-211918313344937525305803875342769547006322:51683194100476917600387217101]
37240e (2 curves)	1	2+ 5+ 7- 19-	2+  2 5+ 7-  4  4  2 19-
Curve Equation t Generators 37240e1 [0,-1,0,-1275731,555489656] 2 [37893:1055215:27] 37240e2 [0,-1,0,-20416356,35513927156] 2 [15622973322:103540485860:5545233]
37240f (2 curves)	1	2+ 5+ 7- 19-	2+  2 5+ 7-  4 -4 -6 19-
Curve Equation t Generators 37240f1 [0,-1,0,-3691,112680] 2 [243:3675:1] 37240f2 [0,-1,0,-63716,6211220] 2 [7590:87220:27]
37240g (2 curves)	1	2+ 5+ 7- 19-	2+ -2 5+ 7- -4  0 -6 19-
Curve Equation t Generators 37240g1 [0,1,0,229,-470] 2 [9:-49:1] 37240g2 [0,1,0,-996,-4880] 2 [-24:76:1]
37240h (1 curve)	1	2+ 5+ 7- 19-	2+ -3 5+ 7-  0  0 -1 19-
Curve Equation t Generators 37240h1 [0,0,0,77,-98] 1 [7:-28:1]
37240i (1 curve)	1	2+ 5+ 7- 19-	2+ -3 5+ 7-  4 -1  7 19-
Curve Equation t Generators 37240i1 [0,0,0,-3283,-317618] 1 [86:190:1]
37240j (1 curve)	1	2+ 5- 7- 19+	2+  3 5- 7-  0  0  1 19+
Curve Equation t Generators 37240j1 [0,0,0,3773,33614] 1 [119511:1639540:729]
37240k (2 curves)	0	2+ 5- 7- 19-	2+  0 5- 7-  0 -6 -6 19-
Curve Equation t 37240k1 [0,0,0,-9947,-369754] 2 37240k2 [0,0,0,3773,-1310946] 2
37240l (4 curves)	0	2+ 5- 7- 19-	2+  0 5- 7- -4  6 -6 19-
Curve Equation t 37240l1 [0,0,0,-271607,-54482806] 2 37240l2 [0,0,0,-272587,-54069834] 4 37240l3 [0,0,0,-27587,-147708834] 2 37240l4 [0,0,0,-533267,65999374] 2
37240m (1 curve)	0	2+ 5- 7- 19-	2+  2 5- 7- -3 -1  5 19-
Curve Equation t 37240m1 [0,-1,0,146200,9627500] 1
37240n (4 curves)	1	2- 5+ 7- 19+	2-  0 5+ 7- -4 -2 -2 19+
Curve Equation t Generators 37240n1 [0,0,0,-105938,-13139987] 2 [10822:1125285:1] 37240n2 [0,0,0,-194383,11996082] 4 [413:1470:1] 37240n3 [0,0,0,717997,92467998] 2 [-13545:457464:125] 37240n4 [0,0,0,-2521883,1540232582] 2 [25401:15940:27]
37240o (1 curve)	1	2- 5+ 7- 19+	2-  1 5+ 7-  4  4  3 19+
Curve Equation t Generators 37240o1 [0,1,0,-8416,322384] 1 [72:308:1]
37240p (1 curve)	1	2- 5+ 7- 19+	2-  1 5+ 7- -5 -5  3 19+
Curve Equation t Generators 37240p1 [0,1,0,-5738161,-5293072541] 1 [2556495969:331564375514:148877]
37240q (2 curves)	1	2- 5+ 7- 19+	2- -2 5+ 7-  4  4  2 19+
Curve Equation t Generators 37240q1 [0,1,0,-3691,82830] 2 [11:209:1] 37240q2 [0,1,0,964,282064] 2 [-26:490:1]
37240r (4 curves)	0	2- 5+ 7- 19-	2-  0 5+ 7- -4  6  6 19-
Curve Equation t 37240r1 [0,0,0,-98,-7203] 2 37240r2 [0,0,0,-6223,-187278] 4 37240r3 [0,0,0,-11123,148862] 2 37240r4 [0,0,0,-99323,-12048218] 2
37240s (1 curve)	2	2- 5- 7- 19+	2- -3 5- 7- -1 -5 -5 19+
Curve Equation t Generators 37240s1 [0,0,0,4508,91924] 1 [-12:190:1]&[28:-490:1]
37240t (1 curve)	1	2- 5- 7- 19-	2- -1 5- 7-  4 -4 -3 19-
Curve Equation t Generators 37240t1 [0,-1,0,-412400,-111402500] 1 [2630:130340:1]
37240u (1 curve)	1	2- 5- 7- 19-	2- -1 5- 7- -5  5 -3 19-
Curve Equation t Generators 37240u1 [0,-1,0,-117105,15465157] 1 [-93:5054:1]

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

Part of Computational Number Theory
Back to Tables and computations