Cremona's table of elliptic curves

42640 = 2⁴ · 5 · 13 · 41

Class	r	Atkin-Lehner	Eigenvalues
42640a (2 curves)	1	2+ 5+ 13- 41-	2+  0 5+ -2  6 13-  0 -2
Curve Equation t Generators 42640a1 [0,0,0,-10643,-134942] 2 [-87:364:1] 42640a2 [0,0,0,-135643,-19209942] 2 [1791:74046:1]
42640b (1 curve)	0	2+ 5- 13+ 41+	2+  1 5- -2 -2 13+  4 -4
Curve Equation t 42640b1 [0,1,0,-840,-19419100] 1
42640c (4 curves)	1	2+ 5- 13+ 41-	2+  0 5-  4  4 13+  6 -4
Curve Equation t Generators 42640c1 [0,0,0,-842,-29] 2 [2595:132184:1] 42640c2 [0,0,0,-9247,341214] 4 [-12595:62496:125] 42640c3 [0,0,0,-5147,645434] 2 [-355358270:-1926393336:3723875] 42640c4 [0,0,0,-147827,21876546] 4 [-403:4000:1]
42640d (2 curves)	1	2- 5+ 13+ 41-	2-  0 5+  2 -2 13+  0 -2
Curve Equation t Generators 42640d1 [0,0,0,-2363,44138] 2 [31:26:1] 42640d2 [0,0,0,-3163,11658] 2 [-17:246:1]
42640e (2 curves)	1	2- 5+ 13+ 41-	2-  0 5+ -2  0 13+  2 -4
Curve Equation t Generators 42640e1 [0,0,0,-883,10098] 2 [1:96:1] 42640e2 [0,0,0,-803,12002] 2 [7:-82:1]
42640f (2 curves)	1	2- 5+ 13+ 41-	2-  2 5+  2  2 13+  6 -2
Curve Equation t Generators 42640f1 [0,-1,0,-1776,13760] 2 [458:9750:1] 42640f2 [0,-1,0,6224,96960] 2 [12270:265330:27]
42640g (2 curves)	1	2- 5+ 13+ 41-	2-  2 5+ -2 -2 13+  2 -6
Curve Equation t Generators 42640g1 [0,-1,0,-3879216,2942076416] 2 [1298:9594:1] 42640g2 [0,-1,0,-3829216,3021556416] 2 [1050:12546:1]
42640h (2 curves)	1	2- 5+ 13+ 41-	2- -2 5+  0  2 13+ -6  2
Curve Equation t Generators 42640h1 [0,1,0,-36336,-2678060] 2 [731:19024:1] 42640h2 [0,1,0,-35056,-2874156] 2 [260:2378:1]
42640i (2 curves)	1	2- 5+ 13+ 41-	2- -2 5+  2 -6 13+ -6 -2
Curve Equation t Generators 42640i1 [0,1,0,-1443536,-668040236] 2 [1484:21450:1] 42640i2 [0,1,0,-1443456,-668117900] 2 [53330244:770851250:35937]
42640j (1 curve)	0	2- 5+ 13- 41-	2-  1 5+  2  2 13-  0  4
Curve Equation t 42640j1 [0,1,0,-10296,408404] 1
42640k (1 curve)	0	2- 5+ 13- 41-	2-  1 5+  4  6 13-  8 -6
Curve Equation t 42640k1 [0,1,0,-2176,-40076] 1
42640l (2 curves)	0	2- 5+ 13- 41-	2-  2 5+ -2  2 13- -2  6
Curve Equation t 42640l1 [0,-1,0,-2176,-37824] 2 42640l2 [0,-1,0,-176,-106624] 2
42640m (4 curves)	0	2- 5+ 13- 41-	2-  2 5+ -2 -6 13-  6 -2
Curve Equation t 42640m1 [0,-1,0,-3336416,-2083160320] 2 42640m2 [0,-1,0,4855584,-10714251520] 2 42640m3 [0,-1,0,-64633056,199728217856] 2 42640m4 [0,-1,0,-44633056,325600217856] 2
42640n (2 curves)	1	2- 5- 13+ 41+	2-  0 5-  0 -2 13+  2 -2
Curve Equation t Generators 42640n1 [0,0,0,-42652,-3390429] 2 [-261651:7860:2197] 42640n2 [0,0,0,-41807,-3531206] 2 [258:1690:1]
42640o (1 curve)	1	2- 5- 13+ 41+	2-  3 5-  0 -2 13+ -4 -2
Curve Equation t Generators 42640o1 [0,0,0,53,-1414] 1 [309:710:27]
42640p (2 curves)	1	2- 5- 13- 41-	2-  0 5-  2  0 13- -2 -4
Curve Equation t Generators 42640p1 [0,0,0,-16747,-182886] 2 [278:4080:1] 42640p2 [0,0,0,65173,-1444454] 2 [87:2210:1]
42640q (1 curve)	1	2- 5- 13- 41-	2- -1 5-  2  2 13- -4  0
Curve Equation t Generators 42640q1 [0,-1,0,16880,2244032] 1 [34:-1690:1]

Data from Elliptic Curve Data by J. E. Cremona.
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