Cremona's table of elliptic curves

26650 = 2 · 5² · 13 · 41

Class	r	Atkin-Lehner	Eigenvalues
26650a (2 curves)	0	2+ 5+ 13+ 41-	2+  0 5+  2  0 13+  2  4
Curve Equation t 26650a1 [1,-1,0,-26167,363741] 2 26650a2 [1,-1,0,101833,2795741] 2
26650b (1 curve)	0	2+ 5+ 13+ 41-	2+ -1 5+  2 -2 13+  4  0
Curve Equation t 26650b1 [1,1,0,26375,-4382875] 1
26650c (4 curves)	0	2+ 5+ 13+ 41-	2+  2 5+ -2  6 13+ -6  2
Curve Equation t 26650c1 [1,1,0,-5213150,4068672500] 2 26650c2 [1,1,0,7586850,20926272500] 2 26650c3 [1,1,0,-100989150,-390094175500] 2 26650c4 [1,1,0,-69739150,-635937925500] 2
26650d (1 curve)	0	2+ 5+ 13- 41+	2+  3 5+  0  2 13-  4  2
Curve Equation t 26650d1 [1,-1,0,83,2741] 1
26650e (1 curve)	0	2+ 5+ 13- 41+	2+ -3 5+  2 -2 13-  0  0
Curve Equation t 26650e1 [1,-1,0,-18967,-1017059] 1
26650f (4 curves)	1	2+ 5+ 13- 41-	2+  0 5+  0  0 13-  6 -8
Curve Equation t Generators 26650f1 [1,-1,0,-4142,98516] 2 [-20:426:1] 26650f2 [1,-1,0,-12142,-389484] 4 [-76:338:1] 26650f3 [1,-1,0,28858,-2480484] 2 [129:1773:1] 26650f4 [1,-1,0,-181142,-29626484] 2 [-245:169:1]
26650g (2 curves)	1	2+ 5+ 13- 41-	2+  0 5+  2  2 13-  0  2
Curve Equation t Generators 26650g1 [1,-1,0,-3692,-85284] 2 [189:2343:1] 26650g2 [1,-1,0,-4942,-21534] 2 [89:443:1]
26650h (2 curves)	1	2+ 5+ 13- 41-	2+  2 5+  2 -2 13- -6  2
Curve Equation t Generators 26650h1 [1,1,0,-2775,-26875] 2 [-46:101:1] 26650h2 [1,1,0,9725,-189375] 2 [165:2355:1]
26650i (2 curves)	1	2+ 5+ 13- 41-	2+ -2 5+  0 -2 13-  6 -2
Curve Equation t Generators 26650i1 [1,0,1,-56776,5202198] 2 [121:267:1] 26650i2 [1,0,1,-54776,5586198] 2 [-18:-2554:1]
26650j (2 curves)	1	2+ 5- 13+ 41-	2+  0 5-  0  2 13+  0  2
Curve Equation t Generators 26650j1 [1,-1,0,-1422242,566144916] 2 [683325:5109841:729] 26650j2 [1,-1,0,-21902242,39457664916] 2 [3543:77748:1]
26650k (2 curves)	2	2+ 5- 13- 41-	2+  0 5-  0 -4 13- -6 -4
Curve Equation t Generators 26650k1 [1,-1,0,-1584877,-767568219] 2 [-727:383:1]&[1483:11173:1] 26650k2 [1,-1,0,-1572077,-780585819] 2 [13702:308009:8]&[1833:49023:1]
26650l (2 curves)	2	2+ 5- 13- 41-	2+  0 5- -4  4 13- -6  4
Curve Equation t Generators 26650l1 [1,-1,0,-52,156] 2 [-6:18:1]&[-5:19:1] 26650l2 [1,-1,0,-2,406] 2 [3:-22:1]&[13:43:1]
26650m (1 curve)	1	2- 5+ 13+ 41-	2-  1 5+  2 -2 13+  0 -4
Curve Equation t Generators 26650m1 [1,0,0,-16088,-805708] 1 [33353592:424500154:132651]
26650n (1 curve)	1	2- 5+ 13- 41+	2- -1 5+  1 -2 13-  5  0
Curve Equation t Generators 26650n1 [1,1,1,-42313,3335031] 1 [171:980:1]
26650o (1 curve)	1	2- 5+ 13- 41+	2- -1 5+ -2 -2 13- -4  0
Curve Equation t Generators 26650o1 [1,1,1,-4288,253281] 1 [125:1237:1]
26650p (1 curve)	0	2- 5+ 13- 41-	2-  3 5+ -3  6 13- -3  4
Curve Equation t 26650p1 [1,-1,1,-13605,-1421603] 1
26650q (2 curves)	0	2- 5- 13+ 41-	2-  0 5-  0 -4 13+  6 -4
Curve Equation t 26650q1 [1,-1,1,-39621930,-95985649303] 2 26650q2 [1,-1,1,-39301930,-97612529303] 2
26650r (2 curves)	0	2- 5- 13+ 41-	2-  0 5-  4  4 13+  6  4
Curve Equation t 26650r1 [1,-1,1,-1305,18197] 2 26650r2 [1,-1,1,-55,50697] 2
26650s (2 curves)	1	2- 5- 13- 41-	2-  0 5-  0  2 13-  0  2
Curve Equation t Generators 26650s1 [1,-1,1,-56890,4540537] 2 [305:3783:1] 26650s2 [1,-1,1,-876090,315836537] 2 [553:215:1]

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