Cremona's table of elliptic curves

37107 = 3² · 7 · 19 · 31

Class	r	Atkin-Lehner	Eigenvalues
37107a (2 curves)	1	3+ 7+ 19- 31-	1 3+  0 7+ -6 -2  4 19-
Curve Equation t Generators 37107a1 [1,-1,0,-1092,14067] 2 [34:107:1] 37107a2 [1,-1,0,-357,32148] 2 [-12:192:1]
37107b (2 curves)	1	3+ 7+ 19- 31-	-1 3+  0 7+  6 -2 -4 19-
Curve Equation t Generators 37107b1 [1,-1,1,-9830,-369980] 2 [116:143:1] 37107b2 [1,-1,1,-3215,-864782] 2 [254:3701:1]
37107c (2 curves)	0	3- 7+ 19+ 31+	1 3-  4 7+  2  4  0 19+
Curve Equation t 37107c1 [1,-1,0,-91301805,-334958348952] 2 37107c2 [1,-1,0,-128361240,-37334026467] 2
37107d (1 curve)	1	3- 7+ 19+ 31-	0 3- -2 7+  2 -2 -3 19+
Curve Equation t Generators 37107d1 [0,0,1,-2600526,1621432687] 1 [521:20198:1]
37107e (4 curves)	1	3- 7+ 19+ 31-	1 3-  2 7+  0  2 -6 19+
Curve Equation t Generators 37107e1 [1,-1,0,-1189746,499790655] 2 [38292:68253:64] 37107e2 [1,-1,0,-1189791,499750992] 4 [84087588:-232338309:140608] 37107e3 [1,-1,0,-1076796,598395627] 2 [2188240178788010:657746964177444741:28962726911000] 37107e4 [1,-1,0,-1303506,398567385] 2 [5448:390945:1]
37107f (2 curves)	1	3- 7+ 19+ 31-	-1 3- -4 7+ -6  4  4 19+
Curve Equation t Generators 37107f1 [1,-1,1,-10292,404430] 2 [60:-15:1] 37107f2 [1,-1,1,-10607,378600] 2 [92:372:1]
37107g (1 curve)	1	3- 7+ 19+ 31-	2 3-  0 7+  4  0 -1 19+
Curve Equation t Generators 37107g1 [0,0,1,-705,9877] 1 [-158:1011:8]
37107h (1 curve)	1	3- 7+ 19+ 31-	-2 3- -1 7+  0 -1  6 19+
Curve Equation t Generators 37107h1 [0,0,1,-3,-630] 1 [20:-86:1]
37107i (1 curve)	1	3- 7+ 19- 31+	0 3-  2 7+  2 -2  7 19-
Curve Equation t Generators 37107i1 [0,0,1,36,-7] 1 [1:5:1]
37107j (6 curves)	1	3- 7+ 19- 31+	1 3-  2 7+  4 -2 -2 19-
Curve Equation t Generators 37107j1 [1,-1,0,-14931,-697896] 2 [154504:3063068:343] 37107j2 [1,-1,0,-18576,-328293] 4 [1774:73593:1] 37107j3 [1,-1,0,69309,-2595726] 2 [7226128:303126831:4096] 37107j4 [1,-1,0,-164781,25549992] 4 [439452:-1867806:2197] 37107j5 [1,-1,0,-39096,63481725] 2 [-355919009787600:14689494545591235:1819422502912] 37107j6 [1,-1,0,-2629746,1642074039] 2 [810:6147:1]
37107k (1 curve)	0	3- 7+ 19- 31-	-2 3-  3 7+  0  7 -2 19-
Curve Equation t 37107k1 [0,0,1,-103701,13094298] 1
37107l (2 curves)	1	3- 7- 19+ 31+	-1 3-  2 7- -6  0  0 19+
Curve Equation t Generators 37107l1 [1,-1,1,-3344,499898] 2 [-84:469:1] 37107l2 [1,-1,1,-117059,15373820] 2 [-360:3460:1]
37107m (1 curve)	1	3- 7- 19+ 31+	2 3-  2 7-  0 -6  3 19+
Curve Equation t Generators 37107m1 [0,0,1,-759,-9027] 1 [258:45:8]
37107n (4 curves)	2	3- 7- 19+ 31-	-1 3- -2 7- -4  2 -2 19+
Curve Equation t Generators 37107n1 [1,-1,1,184,2450] 2 [-2:46:1]&[0:49:1] 37107n2 [1,-1,1,-2021,31556] 4 [-42:223:1]&[-24:268:1] 37107n3 [1,-1,1,-8006,-241360] 2 [144:1183:1]&[830:1115:8] 37107n4 [1,-1,1,-31316,2140796] 2 [-168:1708:1]&[-24:1708:1]
37107o (3 curves)	1	3- 7- 19- 31-	0 3-  0 7-  6 -4  3 19-
Curve Equation t Generators 37107o1 [0,0,1,-12360,-528903] 1 [2170818:39741569:5832] 37107o2 [0,0,1,-11640,-593226] 3 [306:4949:1] 37107o3 [0,0,1,86010,4888845] 3 [-153447:17219791:9261]
37107p (2 curves)	1	3- 7- 19- 31-	-1 3-  0 7-  2  0  0 19-
Curve Equation t Generators 37107p1 [1,-1,1,-11300,-447586] 2 [-62:139:1] 37107p2 [1,-1,1,-26735,1052696] 2 [162:-1058:1]

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