Cremona's table of elliptic curves

58410 = 2 · 3² · 5 · 11 · 59

Class	r	Atkin-Lehner	Eigenvalues
58410a (1 curve)	1	2+ 3+ 5+ 11+ 59+	2+ 3+ 5+ -5 11+  1  8  4
Curve Equation t Generators 58410a1 [1,-1,0,13620,-3429424] 1 [45745:273358:343]
58410b (1 curve)	2	2+ 3+ 5- 11+ 59+	2+ 3+ 5- -3 11+ -3 -1  0
Curve Equation t Generators 58410b1 [1,-1,0,-511089,141361245] 1 [346:2247:1]&[-174:15087:1]
58410c (1 curve)	1	2+ 3+ 5- 11+ 59-	2+ 3+ 5- -1 11+  7  3 -4
Curve Equation t Generators 58410c1 [1,-1,0,66,-28072] 1 [44:220:1]
58410d (2 curves)	1	2+ 3+ 5- 11- 59+	2+ 3+ 5- -4 11-  6  6 -4
Curve Equation t Generators 58410d1 [1,-1,0,-114,448] 2 [-3:29:1] 58410d2 [1,-1,0,-444,-3050] 2 [-9:17:1]
58410e (4 curves)	0	2+ 3- 5+ 11+ 59+	2+ 3- 5+  0 11+ -2 -2  8
Curve Equation t 58410e1 [1,-1,0,33345,1173901] 2 58410e2 [1,-1,0,-150975,10058125] 4 58410e3 [1,-1,0,-1230975,-518493875] 2 58410e4 [1,-1,0,-2020095,1104988621] 2
58410f (2 curves)	1	2+ 3- 5+ 11+ 59-	2+ 3- 5+ -2 11+  4  7  5
Curve Equation t Generators 58410f1 [1,-1,0,12375,-1821875] 1 [8680062:148888769:29791] 58410f2 [1,-1,0,-1395225,646813885] 1 [-858:35239:1]
58410g (2 curves)	1	2+ 3- 5+ 11+ 59-	2+ 3- 5+  4 11+ -2  4  2
Curve Equation t Generators 58410g1 [1,-1,0,-2880,-58100] 2 [-30:40:1] 58410g2 [1,-1,0,-450,-154814] 2 [213:2956:1]
58410h (4 curves)	2	2+ 3- 5+ 11- 59-	2+ 3- 5+  0 11- -2 -6 -4
Curve Equation t Generators 58410h1 [1,-1,0,-5895,73021] 2 [-79:242:1]&[-18:425:1] 58410h2 [1,-1,0,-77895,8381821] 4 [-58:3593:1]&[30:2449:1] 58410h3 [1,-1,0,-61695,11955541] 2 [-153:4295:1]&[-43:3833:1] 58410h4 [1,-1,0,-1246095,535707301] 2 [645:-311:1]&[687:1535:1]
58410i (2 curves)	0	2+ 3- 5+ 11- 59-	2+ 3- 5+  0 11-  4  4  8
Curve Equation t 58410i1 [1,-1,0,-2347470,1036041300] 2 58410i2 [1,-1,0,5762610,6617398356] 2
58410j (2 curves)	1	2+ 3- 5- 11+ 59+	2+ 3- 5-  0 11+  6 -4 -6
Curve Equation t Generators 58410j1 [1,-1,0,-2394,-26892] 2 [-36:126:1] 58410j2 [1,-1,0,7326,-196020] 2 [69:-831:1]
58410k (1 curve)	1	2+ 3- 5- 11+ 59+	2+ 3- 5-  1 11+  1 -3 -6
Curve Equation t Generators 58410k1 [1,-1,0,-196238709,-3561516249035] 1 [737786:633231107:1]
58410l (1 curve)	1	2+ 3- 5- 11+ 59+	2+ 3- 5-  3 11+  1  4 -4
Curve Equation t Generators 58410l1 [1,-1,0,-414,3820] 1 [11:-28:1]
58410m (1 curve)	1	2+ 3- 5- 11+ 59+	2+ 3- 5-  3 11+ -2  3  5
Curve Equation t Generators 58410m1 [1,-1,0,-1239,17405] 1 [59:354:1]
58410n (2 curves)	1	2+ 3- 5- 11+ 59+	2+ 3- 5- -4 11+  4  0 -4
Curve Equation t Generators 58410n1 [1,-1,0,-6939,-216027] 2 [-53:54:1] 58410n2 [1,-1,0,981,-686475] 2 [186:-2523:1]
58410o (4 curves)	0	2+ 3- 5- 11+ 59-	2+ 3- 5-  2 11+  2 -6  2
Curve Equation t 58410o1 [1,-1,0,-11484,-261360] 2 58410o2 [1,-1,0,37116,-1923480] 2 58410o3 [1,-1,0,-421344,105364908] 6 58410o4 [1,-1,0,-387594,122921658] 6
58410p (2 curves)	2	2+ 3- 5- 11+ 59-	2+ 3- 5- -2 11+ -2  0  0
Curve Equation t Generators 58410p1 [1,-1,0,-16884,-798512] 2 [-73:239:1]&[-72:236:1] 58410p2 [1,-1,0,-49284,3212608] 2 [-192:2456:1]&[-156:2740:1]
58410q (2 curves)	1	2+ 3- 5- 11- 59-	2+ 3- 5-  0 11- -2  2 -2
Curve Equation t Generators 58410q1 [1,-1,0,-14904,703728] 2 [84:-240:1] 58410q2 [1,-1,0,-17604,433188] 2 [19:315:1]
58410r (2 curves)	1	2+ 3- 5- 11- 59-	2+ 3- 5- -2 11- -2  2  4
Curve Equation t Generators 58410r1 [1,-1,0,-13374,575680] 2 [26:482:1] 58410r2 [1,-1,0,6876,2151130] 2 [51:-1648:1]
58410s (2 curves)	1	2- 3+ 5+ 11+ 59-	2- 3+ 5+ -4 11+  6 -6 -4
Curve Equation t Generators 58410s1 [1,-1,1,-1028,-11069] 2 [-130:331:8] 58410s2 [1,-1,1,-3998,86347] 2 [574:2959:8]
58410t (1 curve)	1	2- 3+ 5+ 11- 59+	2- 3+ 5+ -1 11-  7 -3 -4
Curve Equation t Generators 58410t1 [1,-1,1,7,1037] 1 [15:58:1]
58410u (1 curve)	0	2- 3+ 5+ 11- 59-	2- 3+ 5+ -3 11- -3  1  0
Curve Equation t 58410u1 [1,-1,1,-4599803,-3812153813] 1
58410v (1 curve)	1	2- 3+ 5- 11- 59-	2- 3+ 5- -5 11-  1 -8  4
Curve Equation t Generators 58410v1 [1,-1,1,1513,126511] 1 [-29:254:1]
58410w (2 curves)	1	2- 3- 5+ 11+ 59+	2- 3- 5+  0 11+ -4  0  0
Curve Equation t Generators 58410w1 [1,-1,1,-51233,-1653919] 2 [-195:1042:1] 58410w2 [1,-1,1,188347,-12866263] 2 [2721:70726:27]
58410x (1 curve)	1	2- 3- 5+ 11+ 59+	2- 3- 5+ -1 11+  3  3 -2
Curve Equation t Generators 58410x1 [1,-1,1,-4028,99407] 1 [27:-113:1]
58410y (4 curves)	1	2- 3- 5+ 11+ 59+	2- 3- 5+  4 11+ -2 -6  0
Curve Equation t Generators 58410y1 [1,-1,1,-395688308,3029006471127] 4 [11333:-17907:1] 58410y2 [1,-1,1,-442874228,2261348175831] 4 [-21435:1391117:1] 58410y3 [1,-1,1,1321575052,15789733695447] 2 [-202971783:-49968966303:24389] 58410y4 [1,-1,1,-2962298228,-60397734473769] 2 [75435545263721:-59660381448428655:119823157]
58410z (4 curves)	0	2- 3- 5+ 11+ 59-	2- 3- 5+  0 11+  2 -2  0
Curve Equation t 58410z1 [1,-1,1,-140018,20015457] 2 58410z2 [1,-1,1,-252518,-16614543] 4 58410z3 [1,-1,1,942232,-129398943] 2 58410z4 [1,-1,1,-3247268,-2249500143] 2
58410ba (2 curves)	0	2- 3- 5+ 11+ 59-	2- 3- 5+ -1 11+  5  0 -4
Curve Equation t 58410ba1 [1,-1,1,-42503,30108287] 1 58410ba2 [1,-1,1,-8766878,9993493037] 3
58410bb (4 curves)	0	2- 3- 5+ 11+ 59-	2- 3- 5+  4 11+  2 -2  0
Curve Equation t 58410bb1 [1,-1,1,-16001303,-24237999313] 2 58410bb2 [1,-1,1,-254880023,-1566152361169] 4 58410bb3 [1,-1,1,-253739543,-1580863184593] 2 58410bb4 [1,-1,1,-4078080023,-100236827241169] 2
58410bc (4 curves)	2	2- 3- 5+ 11+ 59-	2- 3- 5+ -4 11+ -6 -2  0
Curve Equation t Generators 58410bc1 [1,-1,1,-28148,1820247] 2 [113:-327:1]&[-187:813:1] 58410bc2 [1,-1,1,-39668,198231] 4 [-195:797:1]&[-157:1671:1] 58410bc3 [1,-1,1,158332,1465431] 2 [3:1391:1]&[35:2637:1] 58410bc4 [1,-1,1,-421988,-105016233] 2 [-373:807:1]&[-363:665:1]
58410bd (4 curves)	0	2- 3- 5+ 11- 59+	2- 3- 5+  0 11-  2 -6  0
Curve Equation t 58410bd1 [1,-1,1,4345537,-6166162969] 2 58410bd2 [1,-1,1,-35755583,-68290818073] 4 58410bd3 [1,-1,1,-168505583,778707281927] 2 58410bd4 [1,-1,1,-544623503,-4891748058169] 2
58410be (1 curve)	0	2- 3- 5+ 11- 59+	2- 3- 5+  2 11-  4  3 -1
Curve Equation t 58410be1 [1,-1,1,-203,-1573] 1
58410bf (2 curves)	1	2- 3- 5+ 11- 59-	2- 3- 5+  0 11-  2  4  6
Curve Equation t Generators 58410bf1 [1,-1,1,-349673,-78709719] 2 [1415:-48228:1] 58410bf2 [1,-1,1,-73193,-200029143] 2 [1383:-49092:1]
58410bg (1 curve)	1	2- 3- 5+ 11- 59-	2- 3- 5+ -3 11-  1  0 -4
Curve Equation t Generators 58410bg1 [1,-1,1,1237,19707] 1 [35:306:1]
58410bh (2 curves)	0	2- 3- 5- 11+ 59+	2- 3- 5-  0 11+ -6  2  6
Curve Equation t 58410bh1 [1,-1,1,-574007,327830159] 2 58410bh2 [1,-1,1,-11448887,14904519311] 2
58410bi (2 curves)	1	2- 3- 5- 11+ 59-	2- 3- 5- -1 11+  5 -3  2
Curve Equation t Generators 58410bi1 [1,-1,1,-628907,-209115061] 1 [6657:535726:1] 58410bi2 [1,-1,1,3928558,274093841] 3 [321:39439:1]
58410bj (2 curves)	1	2- 3- 5- 11+ 59-	2- 3- 5-  2 11+  2 -2  4
Curve Equation t Generators 58410bj1 [1,-1,1,-7457,-66319] 2 [-39:424:1] 58410bj2 [1,-1,1,28543,-541519] 2 [181:-3336:1]
58410bk (2 curves)	1	2- 3- 5- 11+ 59-	2- 3- 5- -2 11+  2  0 -4
Curve Equation t Generators 58410bk1 [1,-1,1,-15482,725689] 2 [49:263:1] 58410bk2 [1,-1,1,-245882,46990009] 2 [289:-73:1]
58410bl (1 curve)	1	2- 3- 5- 11- 59+	2- 3- 5-  1 11- -2  5 -1
Curve Equation t Generators 58410bl1 [1,-1,1,4884898,-4635994899] 1 [6681:567779:1]
58410bm (1 curve)	1	2- 3- 5- 11- 59+	2- 3- 5-  1 11-  7 -7 -6
Curve Equation t Generators 58410bm1 [1,-1,1,-252752,-116474061] 1 [5309:382257:1]
58410bn (2 curves)	1	2- 3- 5- 11- 59+	2- 3- 5-  2 11- -2  4 -2
Curve Equation t Generators 58410bn1 [1,-1,1,-2012027,-1054067349] 2 [-709:-3606:1] 58410bn2 [1,-1,1,-5468027,3539647851] 2 [2171:42474:1]
58410bo (2 curves)	1	2- 3- 5- 11- 59+	2- 3- 5- -2 11- -2 -4  2
Curve Equation t Generators 58410bo1 [1,-1,1,-810122,280715721] 2 [461:-2481:1] 58410bo2 [1,-1,1,-12960122,17961395721] 2 [2081:-1221:1]
58410bp (4 curves)	1	2- 3- 5- 11- 59+	2- 3- 5- -4 11-  2  0  2
Curve Equation t Generators 58410bp1 [1,-1,1,-8700287,-7727955289] 2 [-2181:30574:1] 58410bp2 [1,-1,1,19643233,-47624294041] 2 [12117:1397266:1] 58410bp3 [1,-1,1,-227411222,1319418514469] 6 [5256111:-413201027:343] 58410bp4 [1,-1,1,-187598102,1796124888101] 6 [-6999:1666699:1]
58410bq (2 curves)	1	2- 3- 5- 11- 59+	2- 3- 5- -4 11- -6 -6 -6
Curve Equation t Generators 58410bq1 [1,-1,1,-302,429] 2 [-13:51:1] 58410bq2 [1,-1,1,-3002,-62211] 2 [-31:33:1]
58410br (4 curves)	0	2- 3- 5- 11- 59-	2- 3- 5-  2 11-  2  0  8
Curve Equation t 58410br1 [1,-1,1,-127545962,-554398193239] 2 58410br2 [1,-1,1,-2040733562,-35483081568919] 2 58410br3 [1,-1,1,-175670897,-98729342431] 6 58410br4 [1,-1,1,-2041910897,-35440089470431] 6
58410bs (2 curves)	0	2- 3- 5- 11- 59-	2- 3- 5- -2 11- -6  8  0
Curve Equation t 58410bs1 [1,-1,1,-4982,-123019] 2 58410bs2 [1,-1,1,-77882,-8346139] 2
58410bt (2 curves)	0	2- 3- 5- 11- 59-	2- 3- 5-  4 11- -2  4  4
Curve Equation t 58410bt1 [1,-1,1,-92,91] 2 58410bt2 [1,-1,1,358,451] 2

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