Cremona's table of elliptic curves

23870 = 2 · 5 · 7 · 11 · 31

Class	r	Atkin-Lehner	Eigenvalues
23870a (2 curves)	1	2+ 5+ 7+ 11+ 31+	2+  2 5+ 7+ 11+  6  0 -4
Curve Equation t Generators 23870a1 [1,1,0,-388,-5232] 2 [96:876:1] 23870a2 [1,1,0,-7388,-247432] 2 [3117:16652:27]
23870b (2 curves)	1	2+ 5+ 7+ 11- 31-	2+  0 5+ 7+ 11- -2 -8 -6
Curve Equation t Generators 23870b1 [1,-1,0,-40,-84] 2 [-3:3:1] 23870b2 [1,-1,0,-110,350] 2 [-5:30:1]
23870c (2 curves)	2	2+ 5+ 7- 11+ 31+	2+  0 5+ 7- 11+ -4 -2  4
Curve Equation t Generators 23870c1 [1,-1,0,55,121] 2 [0:11:1]&[3:16:1] 23870c2 [1,-1,0,-295,1311] 2 [-3:48:1]&[17:23:1]
23870d (1 curve)	0	2+ 5+ 7- 11+ 31+	2+  3 5+ 7- 11+  2  4  7
Curve Equation t 23870d1 [1,-1,0,-218695,-39310675] 1
23870e (2 curves)	1	2+ 5+ 7- 11- 31+	2+  0 5+ 7- 11- -4  6 -4
Curve Equation t Generators 23870e1 [1,-1,0,-233255,-43351299] 2 [348212:25404019:64] 23870e2 [1,-1,0,-3733255,-2775451299] 2 [44673380:3081056807:8000]
23870f (2 curves)	1	2+ 5- 7+ 11+ 31-	2+  2 5- 7+ 11+ -2  6 -6
Curve Equation t Generators 23870f1 [1,1,0,803,4989] 2 [-87:1361:27] 23870f2 [1,1,0,-3677,38141] 2 [-59:262:1]
23870g (2 curves)	1	2+ 5- 7- 11+ 31+	2+  0 5- 7- 11+  2  0 -6
Curve Equation t Generators 23870g1 [1,-1,0,-334,1620] 2 [5:5:1] 23870g2 [1,-1,0,-4814,129748] 2 [27:124:1]
23870h (2 curves)	1	2+ 5- 7- 11+ 31+	2+ -2 5- 7- 11+  2  2  4
Curve Equation t Generators 23870h1 [1,0,1,137,-15462] 2 [54:-415:1] 23870h2 [1,0,1,-8543,-296694] 2 [-60:57:1]
23870i (4 curves)	1	2+ 5- 7- 11- 31-	2+ -2 5- 7- 11-  2  6 -4
Curve Equation t Generators 23870i1 [1,0,1,-3623,-425994] 6 [790:3011:8] 23870i2 [1,0,1,-109953,-13993702] 6 [1624:63150:1] 23870i3 [1,0,1,-556098,-159662764] 2 [2877:147073:1] 23870i4 [1,0,1,-8897578,-10216151052] 2 [800178:18510773:216]
23870j (2 curves)	0	2- 5+ 7+ 11+ 31+	2- -2 5+ 7+ 11+ -2  2 -2
Curve Equation t 23870j1 [1,0,0,16324,1678156] 2 23870j2 [1,0,0,-151746,19527190] 2
23870k (4 curves)	1	2- 5+ 7+ 11+ 31-	2-  0 5+ 7+ 11+  2 -2 -4
Curve Equation t Generators 23870k1 [1,-1,1,6722,-565939] 2 [633:15715:1] 23870k2 [1,-1,1,-75198,-7054003] 4 [-183:835:1] 23870k3 [1,-1,1,-294718,54235981] 2 [-539:7771:1] 23870k4 [1,-1,1,-1166398,-484563123] 2 [-623:395:1]
23870l (2 curves)	1	2- 5+ 7+ 11+ 31-	2-  2 5+ 7+ 11+ -2 -2  2
Curve Equation t Generators 23870l1 [1,1,1,13419,-40297] 2 [116898:2725243:216] 23870l2 [1,1,1,-53851,-390101] 2 [1910900850:40519366387:3375000]
23870m (1 curve)	1	2- 5+ 7- 11+ 31+	2- -1 5+ 7- 11+ -2 -4 -1
Curve Equation t Generators 23870m1 [1,1,1,-4501,115323] 1 [71:364:1]
23870n (2 curves)	1	2- 5+ 7- 11- 31-	2-  0 5+ 7- 11- -2  0 -2
Curve Equation t Generators 23870n1 [1,-1,1,-72945108,103867891127] 2 [-6043:572205:1] 23870n2 [1,-1,1,-972099028,11659074747831] 2 [-23235:4670117:1]
23870o (2 curves)	0	2- 5- 7- 11+ 31+	2-  2 5- 7- 11+ -6  6 -6
Curve Equation t 23870o1 [1,1,1,-286880,59119297] 2 23870o2 [1,1,1,-4592160,3785769665] 2
23870p (4 curves)	1	2- 5- 7- 11- 31+	2-  0 5- 7- 11- -2  6 -4
Curve Equation t Generators 23870p1 [1,-1,1,908,44759] 4 [-13:181:1] 23870p2 [1,-1,1,-14772,646871] 4 [-69:1189:1] 23870p3 [1,-1,1,-48652,-3364521] 2 [-113:881:1] 23870p4 [1,-1,1,-231772,43005271] 2 [551:-9351:1]

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

Part of Computational Number Theory
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