Cremona's table of elliptic curves

10010 = 2 · 5 · 7 · 11 · 13

Class	r	Atkin-Lehner	Eigenvalues
10010a (4 curves)	1	2+ 5+ 7+ 11+ 13+	2+  0 5+ 7+ 11+ 13+ -6  4
Curve Equation t Generators 10010a1 [1,-1,0,-3365,-62139] 2 [-34:127:1] 10010a2 [1,-1,0,-51385,-4470375] 4 [275:1325:1] 10010a3 [1,-1,0,-822155,-286726349] 2 [12133:1326496:1] 10010a4 [1,-1,0,-48935,-4917745] 2 [199593:969551:729]
10010b (2 curves)	0	2+ 5+ 7+ 11+ 13-	2+  2 5+ 7+ 11+ 13- -6  4
Curve Equation t 10010b1 [1,1,0,-968,11072] 2 10010b2 [1,1,0,-168,29792] 2
10010c (2 curves)	1	2+ 5+ 7- 11+ 13-	2+  2 5+ 7- 11+ 13-  4 -2
Curve Equation t Generators 10010c1 [1,1,0,-238,948] 2 [3:15:1] 10010c2 [1,1,0,-1358,-18988] 2 [121:1207:1]
10010d (4 curves)	1	2+ 5+ 7- 11- 13+	2+  0 5+ 7- 11- 13+  2  4
Curve Equation t Generators 10010d1 [1,-1,0,-8030,278980] 2 [61:85:1] 10010d2 [1,-1,0,-8050,277536] 4 [-7:581:1] 10010d3 [1,-1,0,-14420,-218050] 2 [161:1190:1] 10010d4 [1,-1,0,-2000,680466] 2 [15:801:1]
10010e (2 curves)	0	2+ 5+ 7- 11- 13-	2+  1 5+ 7- 11- 13- -6  2
Curve Equation t 10010e1 [1,0,1,-39,1482] 3 10010e2 [1,0,1,346,-39944] 1
10010f (4 curves)	0	2+ 5+ 7- 11- 13-	2+ -2 5+ 7- 11- 13-  0  2
Curve Equation t 10010f1 [1,0,1,-2413624,1442906886] 6 10010f2 [1,0,1,-2633144,1164731142] 6 10010f3 [1,0,1,-5585639,-3040342038] 2 10010f4 [1,0,1,-78985959,-270129426454] 2
10010g (2 curves)	0	2+ 5- 7+ 11+ 13+	2+  2 5- 7+ 11+ 13+  8  6
Curve Equation t 10010g1 [1,1,0,-102637,-12698871] 2 10010g2 [1,1,0,-106067,-11809129] 2
10010h (2 curves)	1	2+ 5- 7+ 11- 13+	2+ -2 5- 7+ 11- 13+ -4 -6
Curve Equation t Generators 10010h1 [1,0,1,-183,-934] 2 [-8:9:1] 10010h2 [1,0,1,-463,2538] 2 [-18:80:1]
10010i (2 curves)	0	2+ 5- 7+ 11- 13-	2+  2 5- 7+ 11- 13- -2  0
Curve Equation t 10010i1 [1,1,0,-17,-31] 2 10010i2 [1,1,0,33,-121] 2
10010j (2 curves)	1	2+ 5- 7- 11+ 13+	2+  0 5- 7- 11+ 13+  0  8
Curve Equation t Generators 10010j1 [1,-1,0,56,0] 2 [1:7:1] 10010j2 [1,-1,0,-224,168] 2 [-13:34:1]
10010k (4 curves)	1	2+ 5- 7- 11+ 13+	2+  0 5- 7- 11+ 13+  6 -4
Curve Equation t Generators 10010k1 [1,-1,0,1284241,247487120685] 2 [2733695208783:-444295882176006:105823817] 10010k2 [1,-1,0,-583645039,5333213238573] 4 [-396726:88668283:27] 10010k3 [1,-1,0,-1232875439,-8683800943507] 2 [-682988097:-100553397878:35937] 10010k4 [1,-1,0,-9293283119,344829679814125] 4 [45309:4072937:1]
10010l (3 curves)	0	2+ 5- 7- 11+ 13-	2+  1 5- 7- 11+ 13-  6  2
Curve Equation t 10010l1 [1,0,1,-596193,177135708] 3 10010l2 [1,0,1,-550568,205395958] 3 10010l3 [1,0,1,4242857,-2239652102] 1
10010m (4 curves)	0	2- 5+ 7+ 11+ 13+	2-  0 5+ 7+ 11+ 13+  6 -8
Curve Equation t 10010m1 [1,-1,1,-523,-4469] 2 10010m2 [1,-1,1,-543,-4093] 4 10010m3 [1,-1,1,-2293,38607] 2 10010m4 [1,-1,1,887,-22969] 2
10010n (2 curves)	1	2- 5+ 7+ 11+ 13-	2-  0 5+ 7+ 11+ 13- -2  6
Curve Equation t Generators 10010n1 [1,-1,1,17,-1433] 2 [25:106:1] 10010n2 [1,-1,1,-1803,-28369] 2 [51:76:1]
10010o (2 curves)	1	2- 5+ 7+ 11+ 13-	2-  2 5+ 7+ 11+ 13- -2 -6
Curve Equation t Generators 10010o1 [1,1,1,-198911,-401965211] 2 [1061:23610:1] 10010o2 [1,1,1,-9473631,-11149510747] 2 [242679:21307808:27]
10010p (2 curves)	1	2- 5+ 7+ 11+ 13-	2- -2 5+ 7+ 11+ 13-  2 -6
Curve Equation t Generators 10010p1 [1,0,0,119,921] 2 [-2:27:1] 10010p2 [1,0,0,-1001,10105] 2 [-24:155:1]
10010q (2 curves)	0	2- 5+ 7+ 11- 13-	2-  0 5+ 7+ 11- 13-  4  0
Curve Equation t 10010q1 [1,-1,1,-2193,1064957] 2 10010q2 [1,-1,1,-170263,26813281] 2
10010r (1 curve)	0	2- 5+ 7+ 11- 13-	2-  3 5+ 7+ 11- 13- -2  6
Curve Equation t 10010r1 [1,-1,1,-19728,-1062413] 1
10010s (4 curves)	0	2- 5+ 7- 11+ 13-	2- -2 5+ 7- 11+ 13-  6  8
Curve Equation t 10010s1 [1,0,0,-2671,15801] 6 10010s2 [1,0,0,10129,125881] 6 10010s3 [1,0,0,-123311,-16676615] 2 10010s4 [1,0,0,-118311,-18089615] 2
10010t (1 curve)	0	2- 5- 7+ 11+ 13-	2- -1 5- 7+ 11+ 13- -6 -2
Curve Equation t 10010t1 [1,1,1,0,-5] 1
10010u (2 curves)	1	2- 5- 7+ 11- 13-	2-  0 5- 7+ 11- 13- -2 -6
Curve Equation t Generators 10010u1 [1,-1,1,-457,4681] 2 [1:64:1] 10010u2 [1,-1,1,-7737,263849] 2 [37:146:1]
10010v (2 curves)	0	2- 5- 7- 11+ 13+	2-  2 5- 7- 11+ 13+  2 -4
Curve Equation t 10010v1 [1,1,1,-414584660,3248963582065] 2 10010v2 [1,1,1,-413803410,3261819207065] 2
10010w (2 curves)	0	2- 5- 7- 11+ 13+	2-  2 5- 7- 11+ 13+  2  6
Curve Equation t 10010w1 [1,1,1,-4585,-138665] 2 10010w2 [1,1,1,-76265,-8138153] 2
10010x (4 curves)	1	2- 5- 7- 11+ 13-	2-  0 5- 7- 11+ 13-  2  0
Curve Equation t Generators 10010x1 [1,-1,1,128,-749] 4 [355:6507:1] 10010x2 [1,-1,1,-852,-7021] 4 [137:1491:1] 10010x3 [1,-1,1,-12682,-546469] 2 [1278:9107:8] 10010x4 [1,-1,1,-4702,119259] 2 [9076:92267:64]
10010y (2 curves)	1	2- 5- 7- 11- 13+	2-  0 5- 7- 11- 13+  0 -8
Curve Equation t Generators 10010y1 [1,-1,1,-1797,161021] 2 [-9:424:1] 10010y2 [1,-1,1,-56677,5188029] 2 [537:-11644:1]
10010z (4 curves)	0	2- 5- 7- 11- 13-	2- -2 5- 7- 11- 13- -6 -4
Curve Equation t 10010z1 [1,0,0,-2190,-35900] 6 10010z2 [1,0,0,2810,-174900] 6 10010z3 [1,0,0,-172690,-27636000] 2 10010z4 [1,0,0,-172640,-27652790] 2

Data from Elliptic Curve Data by J. E. Cremona.
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Part of Computational Number Theory
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