Cremona's table of elliptic curves

101680 = 2⁴ · 5 · 31 · 41

Class	r	Atkin-Lehner	Eigenvalues
101680a (2 curves)	2	2+ 5+ 31+ 41-	2+  0 5+  0 -6 -2  2  0
Curve Equation t Generators 101680a1 [0,0,0,-263,1862] 2 [1:40:1]&[17:48:1] 101680a2 [0,0,0,-4363,110922] 2 [-43:468:1]&[37:12:1]
101680b (2 curves)	0	2+ 5+ 31- 41+	2+  0 5+  2  4  6 -6  0
Curve Equation t 101680b1 [0,0,0,257,-3042] 2 101680b2 [0,0,0,-2243,-34542] 2
101680c (2 curves)	1	2+ 5+ 31- 41-	2+  0 5+  0  2  2  2  0
Curve Equation t Generators 101680c1 [0,0,0,-58,147] 2 [388:273:64] 101680c2 [0,0,0,97,798] 2 [14:70:1]
101680d (2 curves)	1	2+ 5+ 31- 41-	2+  0 5+  2  4 -4  0 -2
Curve Equation t Generators 101680d1 [0,0,0,-383,2782] 2 [-18:62:1] 101680d2 [0,0,0,-1003,-8502] 2 [-22:54:1]
101680e (2 curves)	1	2+ 5+ 31- 41-	2+  2 5+  0  0 -4 -4  4
Curve Equation t Generators 101680e1 [0,-1,0,-2791,-55830] 2 [126547260:-3047505031:216000] 101680e2 [0,-1,0,-2636,-62464] 2 [63147:3052450:27]
101680f (2 curves)	0	2+ 5- 31+ 41+	2+  0 5- -2  6  6  6  8
Curve Equation t 101680f1 [0,0,0,38,39] 2 101680f2 [0,0,0,-167,326] 2
101680g (2 curves)	0	2+ 5- 31+ 41+	2+  2 5-  2  4 -4  0  4
Curve Equation t 101680g1 [0,-1,0,-17300,740000] 2 101680g2 [0,-1,0,-79800,-7960000] 2
101680h (2 curves)	0	2+ 5- 31+ 41+	2+  2 5- -2  0  0  0 -4
Curve Equation t 101680h1 [0,-1,0,-1001055,385843322] 2 101680h2 [0,-1,0,-1001260,385677600] 2
101680i (1 curve)	1	2+ 5- 31+ 41-	2+  0 5-  3 -1 -6  4 -4
Curve Equation t Generators 101680i1 [0,0,0,268,876] 1 [-217:9115:343]
101680j (2 curves)	1	2+ 5- 31+ 41-	2+  2 5-  4  2  0  0  4
Curve Equation t Generators 101680j1 [0,-1,0,-300,1952] 2 [363:350:27] 101680j2 [0,-1,0,320,8400] 2 [30:210:1]
101680k (2 curves)	1	2+ 5- 31- 41+	2+ -2 5-  2  0  0  0  8
Curve Equation t Generators 101680k1 [0,1,0,-13135,-583572] 2 [-451668:87792:6859] 101680k2 [0,1,0,-210140,-37147700] 2 [-201012715248:63548605:758550528]
101680l (2 curves)	1	2+ 5- 31- 41+	2+ -2 5- -2 -4  4 -8  8
Curve Equation t Generators 101680l1 [0,1,0,-183140,-17968100] 2 [-305:3100:1] 101680l2 [0,1,0,-2585640,-1600735100] 2 [-925:620:1]
101680m (2 curves)	1	2- 5+ 31+ 41-	2- -2 5+  2  2  6 -2  2
Curve Equation t Generators 101680m1 [0,1,0,-569216,-165440780] 2 [-438:200:1] 101680m2 [0,1,0,-492336,-211661036] 2 [1484:48250:1]
101680n (2 curves)	1	2- 5+ 31- 41+	2-  0 5+ -2  4 -2  2  4
Curve Equation t Generators 101680n1 [0,0,0,317,-318] 2 [2:18:1] 101680n2 [0,0,0,-1283,-2558] 2 [-33:62:1]
101680o (2 curves)	1	2- 5+ 31- 41+	2-  2 5+  0 -2 -4  6  0
Curve Equation t Generators 101680o1 [0,-1,0,10704,-771904] 2 [82440:997424:729] 101680o2 [0,-1,0,-89296,-8531904] 2 [-192:1224:1]
101680p (2 curves)	0	2- 5+ 31- 41-	2- -2 5+  2  2 -2  6  2
Curve Equation t 101680p1 [0,1,0,-208416,-36615116] 2 101680p2 [0,1,0,-131536,-63892140] 2
101680q (2 curves)	1	2- 5- 31+ 41+	2-  2 5-  0 -2  4  2  2
Curve Equation t Generators 101680q1 [0,-1,0,-17400,-730000] 2 [-55:240:1] 101680q2 [0,-1,0,-81400,8281200] 2 [6195:34480:27]
101680r (1 curve)	1	2- 5- 31+ 41+	2- -2 5-  1  3  2  2  0
Curve Equation t Generators 101680r1 [0,1,0,395,5475] 1 [-10:25:1]
101680s (2 curves)	1	2- 5- 31+ 41+	2- -2 5-  2  4  0  0 -4
Curve Equation t Generators 101680s1 [0,1,0,-13560,601300] 2 [-20:930:1] 101680s2 [0,1,0,-19960,-31020] 2 [228:2706:1]
101680t (2 curves)	1	2- 5- 31+ 41+	2- -2 5-  2  4  0  8 -4
Curve Equation t Generators 101680t1 [0,1,0,-282494360,-1357518157100] 2 [-5370:68200:1] 101680t2 [0,1,0,-4188744360,-104337205657100] 2 [-50116220:30319550:1331]
101680u (2 curves)	1	2- 5- 31+ 41+	2- -2 5- -2  0 -4 -4  0
Curve Equation t Generators 101680u1 [0,1,0,-12730680,17474835028] 2 [-1524:182590:1] 101680u2 [0,1,0,-14369080,12688740948] 2 [10628:1029838:1]
101680v (2 curves)	0	2- 5- 31+ 41-	2-  2 5-  0  6 -4 -4  0
Curve Equation t 101680v1 [0,-1,0,-7880,-259600] 2 101680v2 [0,-1,0,2040,-878608] 2
101680w (2 curves)	2	2- 5- 31+ 41-	2- -2 5- -4 -2  0 -4 -4
Curve Equation t Generators 101680w1 [0,1,0,-18840,767188] 2 [4962:50840:27]&[-109:1240:1] 101680w2 [0,1,0,43160,4809588] 2 [71:-2870:1]&[-52:1558:1]
101680x (2 curves)	0	2- 5- 31- 41+	2-  0 5-  2 -2  2  6  0
Curve Equation t 101680x1 [0,0,0,-19667,935826] 2 101680x2 [0,0,0,29933,4893906] 2
101680y (2 curves)	0	2- 5- 31- 41+	2-  2 5- -4  6  0 -2  2
Curve Equation t 101680y1 [0,-1,0,-16401080,25571042672] 2 101680y2 [0,-1,0,-262417080,1636286997872] 2
101680z (1 curve)	0	2- 5- 31- 41+	2-  2 5-  5 -3 -6 -2 -4
Curve Equation t 101680z1 [0,-1,0,-11125,-448023] 1
101680ba (4 curves)	1	2- 5- 31- 41-	2-  0 5-  0  0  2  6  4
Curve Equation t Generators 101680ba1 [0,0,0,-2507,722106] 2 [-58:820:1] 101680ba2 [0,0,0,-136987,19361034] 4 [-27:4800:1] 101680ba3 [0,0,0,-238667,-13237574] 2 [17634:282500:27] 101680ba4 [0,0,0,-2186987,1244851034] 4 [1133:-14880:1]
101680bb (2 curves)	1	2- 5- 31- 41-	2-  0 5-  2 -2  2  0 -6
Curve Equation t Generators 101680bb1 [0,0,0,-22078547,39930416914] 2 [22194:44485:8] 101680bb2 [0,0,0,-22091347,39881799954] 2 [2610:1722:1]
101680bc (2 curves)	1	2- 5- 31- 41-	2-  0 5-  2 -2 -6  0  2
Curve Equation t Generators 101680bc1 [0,0,0,-53346467,-149846162526] 2 [73714:3003125:8] 101680bc2 [0,0,0,-853346467,-9594806162526] 2 [1712114:784248075:8]
101680bd (1 curve)	1	2- 5- 31- 41-	2-  0 5- -3  3  2  0  4
Curve Equation t Generators 101680bd1 [0,0,0,-272,-1744] 1 [5351357:27820805:148877]
101680be (4 curves)	1	2- 5- 31- 41-	2-  0 5-  4  0  6 -6 -8
Curve Equation t Generators 101680be1 [0,0,0,-328427,-72444646] 2 [114344505:-3518885888:91125] 101680be2 [0,0,0,-329707,-71851494] 4 [597505:40997376:125] 101680be3 [0,0,0,-22187,-200579366] 4 [305147560:21040702137:64000] 101680be4 [0,0,0,-657707,94838106] 4 [-793:10850:1]
101680bf (2 curves)	1	2- 5- 31- 41-	2-  0 5- -4 -2  0 -6  8
Curve Equation t Generators 101680bf1 [0,0,0,-1667,25474] 2 [15:62:1] 101680bf2 [0,0,0,-26467,1657314] 2 [95:18:1]
101680bg (2 curves)	1	2- 5- 31- 41-	2-  2 5-  0  2 -4  0  0
Curve Equation t Generators 101680bg1 [0,-1,0,-3240,-89488] 2 [2128739:5863410:29791] 101680bg2 [0,-1,0,-55720,-5043600] 2 [12420:1383840:1]
101680bh (2 curves)	1	2- 5- 31- 41-	2- -2 5- -4  6 -4  0  4
Curve Equation t Generators 101680bh1 [0,1,0,40,-3500] 2 [30:160:1] 101680bh2 [0,1,0,-3240,-70412] 2 [-34:40:1]

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

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