Cremona's table of elliptic curves

83810 = 2 · 5 · 17² · 29

Class	r	Atkin-Lehner	Eigenvalues
83810a (1 curve)	1	2+ 5+ 17+ 29+	2+ -1 5+ -1  2  0 17+  4
Curve Equation t Generators 83810a1 [1,1,0,-393938,-95983208] 1 [5976877:169112540:4913]
83810b (1 curve)	1	2+ 5+ 17+ 29+	2+ -1 5+ -1 -2  4 17+  0
Curve Equation t Generators 83810b1 [1,1,0,-48,-188] 1 [9:10:1]
83810c (1 curve)	0	2+ 5+ 17+ 29-	2+  1 5+ -1  6 -4 17+  2
Curve Equation t 83810c1 [1,0,1,123541,5895142] 1
83810d (1 curve)	0	2+ 5+ 17+ 29-	2+  2 5+  3  4 -7 17+ -1
Curve Equation t 83810d1 [1,1,0,25282,899588] 1
83810e (1 curve)	0	2+ 5+ 17- 29+	2+  0 5+ -1 -3  1 17-  0
Curve Equation t 83810e1 [1,-1,0,-4118015,3217525005] 1
83810f (2 curves)	1	2+ 5+ 17- 29-	2+  1 5+ -1  0 -4 17-  2
Curve Equation t Generators 83810f1 [1,0,1,-2750564,-1962704654] 3 [283054911869992:7349386931663451:124027532803] 83810f2 [1,0,1,-230001379,-1342610294498] 1 [2625176432551157628377807523450:718466397094142058874034200563677:33513801443635928983875000]
83810g (2 curves)	1	2+ 5+ 17- 29-	2+ -2 5+  2 -6 -4 17-  2
Curve Equation t Generators 83810g1 [1,0,1,-72979,19297806] 3 [198:3453:1] 83810g2 [1,0,1,639406,-448311708] 1 [367026:15900629:216]
83810h (1 curve)	2	2+ 5- 17+ 29+	2+  0 5- -3 -4 -5 17+  7
Curve Equation t Generators 83810h1 [1,-1,0,-699434,-316758012] 1 [2852:143074:1]&[1067:11749:1]
83810i (2 curves)	0	2+ 5- 17+ 29+	2+ -1 5-  1  0 -4 17+  2
Curve Equation t 83810i1 [1,1,0,-9517,-403411] 1 83810i2 [1,1,0,-795852,-273604784] 1
83810j (2 curves)	0	2+ 5- 17+ 29+	2+  2 5- -2  6 -4 17+  2
Curve Equation t 83810j1 [1,1,0,-252,3824] 1 83810j2 [1,1,0,2213,-90339] 1
83810k (1 curve)	2	2+ 5- 17+ 29+	2+ -2 5- -3 -4 -7 17+ -1
Curve Equation t Generators 83810k1 [1,0,1,87,188] 1 [7:-38:1]&[-1:10:1]
83810l (1 curve)	1	2+ 5- 17+ 29-	2+  0 5-  1  3  1 17+  0
Curve Equation t Generators 83810l1 [1,-1,0,-14249,658253] 1 [49:251:1]
83810m (2 curves)	1	2+ 5- 17+ 29-	2+  0 5-  2 -2 -6 17+ -2
Curve Equation t Generators 83810m1 [1,-1,0,-20284,-1083312] 2 [-88:164:1] 83810m2 [1,-1,0,2836,-3427680] 2 [251:-3738:1]
83810n (2 curves)	1	2+ 5- 17+ 29-	2+  0 5- -2 -2  6 17+ -6
Curve Equation t Generators 83810n1 [1,-1,0,-622849,-163220115] 2 [-566:3067:1] 83810n2 [1,-1,0,1047571,-889184647] 2 [24686:1412427:8]
83810o (2 curves)	1	2+ 5- 17+ 29-	2+  0 5- -2  6 -2 17+ -6
Curve Equation t Generators 83810o1 [1,-1,0,-8525482714,302990935230948] 2 [18869291:-244337458:343] 83810o2 [1,-1,0,-8523812294,303115599677800] 2 [23541:10735417:1]
83810p (1 curve)	1	2+ 5- 17+ 29-	2+  0 5-  3 -4  3 17+ -1
Curve Equation t Generators 83810p1 [1,-1,0,-6282914,-6083843180] 1 [1394988:64039786:343]
83810q (1 curve)	1	2+ 5- 17- 29+	2+ -1 5-  1 -6 -4 17-  2
Curve Equation t Generators 83810q1 [1,1,0,428,1376] 1 [35:-264:1]
83810r (1 curve)	0	2+ 5- 17- 29-	2+  1 5-  1  2  4 17-  0
Curve Equation t 83810r1 [1,0,1,-14023,-825842] 1
83810s (1 curve)	0	2+ 5- 17- 29-	2+  1 5-  1 -2  0 17-  4
Curve Equation t 83810s1 [1,0,1,-113848233,-470768563632] 1
83810t (1 curve)	0	2- 5+ 17+ 29+	2- -1 5+ -1  4  6 17+  4
Curve Equation t 83810t1 [1,1,1,-702914476,-7173311763327] 1
83810u (1 curve)	2	2- 5+ 17+ 29+	2- -1 5+ -1 -4 -2 17+ -4
Curve Equation t Generators 83810u1 [1,1,1,-3746,86703] 1 [-71:67:1]&[9:227:1]
83810v (1 curve)	0	2- 5+ 17+ 29+	2-  2 5+ -1 -1  1 17+ -4
Curve Equation t 83810v1 [1,1,1,-3782751351,-90032199035827] 1
83810w (2 curves)	0	2- 5+ 17+ 29+	2-  2 5+  4  0 -2 17+  2
Curve Equation t 83810w1 [1,1,1,-14456,-673367] 2 83810w2 [1,1,1,-8676,-1209751] 2
83810x (2 curves)	0	2- 5+ 17+ 29+	2- -2 5+  0 -4  0 17+  4
Curve Equation t 83810x1 [1,0,0,-11566,263616] 2 83810x2 [1,0,0,37564,1924210] 2
83810y (1 curve)	1	2- 5+ 17+ 29-	2-  1 5+  3  0 -6 17+ -6
Curve Equation t Generators 83810y1 [1,0,0,1167554,1704190276] 1 [564:50138:1]
83810z (1 curve)	1	2- 5+ 17+ 29-	2-  1 5+  3  4 -2 17+ -2
Curve Equation t Generators 83810z1 [1,0,0,-6381,890321] 1 [-62:1055:1]
83810ba (1 curve)	1	2- 5+ 17- 29+	2- -1 5+  3  6  2 17- -8
Curve Equation t Generators 83810ba1 [1,1,1,12999,8324359] 1 [-169:1240:1]
83810bb (1 curve)	1	2- 5+ 17- 29+	2- -2 5+ -2 -2  4 17-  6
Curve Equation t Generators 83810bb1 [1,0,0,-6,-530] 1 [94:213:8]
83810bc (1 curve)	1	2- 5+ 17- 29+	2-  3 5+  3 -2 -6 17- -4
Curve Equation t Generators 83810bc1 [1,-1,1,-181071993,1026375795481] 1 [125661:14337092:27]
83810bd (4 curves)	2	2- 5- 17+ 29-	2-  0 5-  0 -4 -6 17+ -4
Curve Equation t Generators 83810bd1 [1,-1,1,-21007,904791] 4 [-141:1094:1]&[15:762:1] 83810bd2 [1,-1,1,-113487,-13929001] 4 [-1706:6729:8]&[-193:966:1] 83810bd3 [1,-1,1,83033,-57242009] 2 [421:7014:1]&[641:15774:1] 83810bd4 [1,-1,1,-1789687,-921088441] 2 [-771:388:1]&[-726365514:314596841:941192]
83810be (2 curves)	0	2- 5- 17+ 29-	2-  0 5-  2  2 -2 17+  6
Curve Equation t 83810be1 [1,-1,1,-434277,73369229] 2 83810be2 [1,-1,1,1236143,500328581] 2
83810bf (1 curve)	2	2- 5- 17+ 29-	2-  1 5- -3 -6  2 17+ -8
Curve Equation t Generators 83810bf1 [1,0,0,45,1697] 1 [-8:33:1]&[22:105:1]
83810bg (2 curves)	0	2- 5- 17+ 29-	2-  2 5-  0  4  0 17+  4
Curve Equation t 83810bg1 [1,1,1,-40,37] 2 83810bg2 [1,1,1,130,445] 2
83810bh (1 curve)	0	2- 5- 17+ 29-	2-  2 5-  2  2  4 17+  6
Curve Equation t 83810bh1 [1,1,1,-1740,-2602153] 1
83810bi (4 curves)	0	2- 5- 17+ 29-	2-  2 5-  4  0  2 17+  2
Curve Equation t 83810bi1 [1,1,1,-3894570,-2844780745] 2 83810bi2 [1,1,1,2024150,-10719045833] 2 83810bi3 [1,1,1,-312037930,-2121708956873] 2 83810bi4 [1,1,1,-312014810,-2122039054985] 2
83810bj (1 curve)	2	2- 5- 17+ 29-	2- -3 5- -3  2 -6 17+ -4
Curve Equation t Generators 83810bj1 [1,-1,1,-626547,209057619] 1 [-923:1086:1]&[2827:143586:1]
83810bk (1 curve)	2	2- 5- 17- 29+	2- -1 5- -3  0 -6 17- -6
Curve Equation t Generators 83810bk1 [1,1,1,4040,348537] 1 [-314:3053:8]&[-33:441:1]
83810bl (1 curve)	2	2- 5- 17- 29+	2- -1 5- -3 -4 -2 17- -2
Curve Equation t Generators 83810bl1 [1,1,1,-1844115,4375991185] 1 [-1325:-66386:1]&[299:61910:1]
83810bm (1 curve)	1	2- 5- 17- 29-	2-  1 5-  1  4 -2 17- -4
Curve Equation t Generators 83810bm1 [1,0,0,-1082600,433550912] 1 [602:-12:1]
83810bn (1 curve)	1	2- 5- 17- 29-	2-  1 5-  1 -4  6 17-  4
Curve Equation t Generators 83810bn1 [1,0,0,-2432230,-1460210600] 1 [1860:20320:1]
83810bo (1 curve)	1	2- 5- 17- 29-	2- -2 5-  1  1  1 17- -4
Curve Equation t Generators 83810bo1 [1,0,0,-13089105,-18326069975] 1 [4410:96395:1]

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

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