Cremona's table of elliptic curves

42834 = 2 · 3 · 11² · 59

Class	r	Atkin-Lehner	Eigenvalues
42834a (2 curves)	2	2+ 3+ 11+ 59-	2+ 3+  0 -4 11+ -2  2  2
Curve Equation t Generators 42834a1 [1,1,0,-2400,44268] 2 [-22:306:1]&[-4:234:1] 42834a2 [1,1,0,-2510,39846] 2 [-13:272:1]&[15:69:1]
42834b (2 curves)	0	2+ 3+ 11+ 59-	2+ 3+  2  2 11+ -2  0 -2
Curve Equation t 42834b1 [1,1,0,-12949,519325] 2 42834b2 [1,1,0,13671,2409345] 2
42834c (2 curves)	0	2+ 3+ 11+ 59-	2+ 3+  2  4 11+  2  4 -2
Curve Equation t 42834c1 [1,1,0,-1069,12445] 2 42834c2 [1,1,0,-16909,839293] 2
42834d (2 curves)	2	2+ 3+ 11- 59+	2+ 3+  0  0 11- -4 -6  4
Curve Equation t Generators 42834d1 [1,1,0,-365,1929] 2 [-12:75:1]&[-5:63:1] 42834d2 [1,1,0,845,13303] 2 [17:173:1]&[61:514:1]
42834e (2 curves)	0	2+ 3+ 11- 59+	2+ 3+  2 -2 11- -6 -2 -4
Curve Equation t 42834e1 [1,1,0,-4951564,3849954640] 2 42834e2 [1,1,0,6199796,18723638608] 2
42834f (2 curves)	0	2+ 3+ 11- 59+	2+ 3+  4  0 11-  0  2 -4
Curve Equation t 42834f1 [1,1,0,-2844833,1840256565] 2 42834f2 [1,1,0,-1605793,3454725685] 2
42834g (1 curve)	1	2+ 3+ 11- 59-	2+ 3+ -1 -2 11-  0  1  5
Curve Equation t Generators 42834g1 [1,1,0,-10097528773,-390549554603699] 1 [7185513282063854318531264792325114525:-51755817617469848364409660697009922346:61916674188886470024523593384979]
42834h (1 curve)	1	2+ 3+ 11- 59-	2+ 3+ -1 -2 11-  4  7 -5
Curve Equation t Generators 42834h1 [1,1,0,-14643,782379] 1 [149:1317:1]
42834i (2 curves)	1	2+ 3+ 11- 59-	2+ 3+  2 -2 11- -2 -8 -2
Curve Equation t Generators 42834i1 [1,1,0,-550794,10288260] 2 [-84405:21873930:4913] 42834i2 [1,1,0,-5843334,-5418799272] 2 [-189700059:-427357838:132651]
42834j (4 curves)	1	2+ 3+ 11- 59-	2+ 3+  2  4 11- -2 -2  4
Curve Equation t Generators 42834j1 [1,1,0,-35079959,-79986018603] 2 [-15361390527144420881326780071258:5121883171320686257093017404589:4494568154187158604499769533] 42834j2 [1,1,0,-35699479,-77015172395] 4 [-2437239868396052062:-37938689785203642049:640303327065871] 42834j3 [1,1,0,31692681,-333765823563] 2 [96961631820907277197562049:20269396034681869520348618448:2236476416380035512201] 42834j4 [1,1,0,-113003959,369882026485] 2 [2103635235:378605860040:59319]
42834k (1 curve)	1	2+ 3+ 11- 59-	2+ 3+ -2  2 11- -4  0  2
Curve Equation t Generators 42834k1 [1,1,0,-2301,45489] 1 [50:217:1]
42834l (1 curve)	1	2+ 3+ 11- 59-	2+ 3+ -4  1 11-  1  7  4
Curve Equation t Generators 42834l1 [1,1,0,-607,-17915] 1 [37:91:1]
42834m (2 curves)	1	2+ 3- 11+ 59-	2+ 3- -2  4 11+  2  4  2
Curve Equation t Generators 42834m1 [1,0,1,-1419817,-602185300] 2 [1564:30896:1] 42834m2 [1,0,1,-4827177,3389877676] 2 [2672:96492:1]
42834n (1 curve)	1	2+ 3- 11- 59+	2+ 3-  1  2 11-  4  5  3
Curve Equation t Generators 42834n1 [1,0,1,4027482,1258935544] 1 [6698:570009:1]
42834o (1 curve)	1	2+ 3- 11- 59+	2+ 3-  1 -2 11- -1  7 -6
Curve Equation t Generators 42834o1 [1,0,1,-255562288,1572488152574] 1 [4729:682979:1]
42834p (2 curves)	1	2+ 3- 11- 59+	2+ 3-  2  2 11-  2 -4 -6
Curve Equation t Generators 42834p1 [1,0,1,-6047825,5661855956] 2 [-2025:99022:1] 42834p2 [1,0,1,-11340365,-5742509236] 2 [-2322:91003:1]
42834q (2 curves)	1	2+ 3- 11- 59+	2+ 3- -2  2 11- -2  2  0
Curve Equation t Generators 42834q1 [1,0,1,-14402,-665260] 2 [294:4384:1] 42834q2 [1,0,1,-9562,-1118284] 2 [178:1592:1]
42834r (1 curve)	1	2+ 3- 11- 59+	2+ 3- -2 -2 11- -4 -8  6
Curve Equation t Generators 42834r1 [1,0,1,118,5564] 1 [21:121:1]
42834s (2 curves)	1	2+ 3- 11- 59+	2+ 3- -3 -2 11-  4  3  1
Curve Equation t Generators 42834s1 [1,0,1,-1455,-193118] 1 [164:1914:1] 42834s2 [1,0,1,13065,5156050] 1 [14780:353914:125]
42834t (2 curves)	1	2- 3+ 11+ 59-	2- 3+  0  4 11+  2 -2 -2
Curve Equation t Generators 42834t1 [1,1,1,-290463,-60372927] 2 [68717897786216:755797044188607:100414945792] 42834t2 [1,1,1,-303773,-54553795] 2 [47856396:2132508643:21952]
42834u (2 curves)	1	2- 3+ 11+ 59-	2- 3+  2 -2 11+  2  0  2
Curve Equation t Generators 42834u1 [1,1,1,-107,-439] 2 [-7:8:1] 42834u2 [1,1,1,113,-1759] 2 [15:52:1]
42834v (2 curves)	1	2- 3+ 11+ 59-	2- 3+  2 -4 11+ -2 -4  2
Curve Equation t Generators 42834v1 [1,1,1,-129412,-17211259] 2 [-235:657:1] 42834v2 [1,1,1,-2046052,-1127329147] 2 [-22317:9875:27]
42834w (1 curve)	1	2- 3+ 11- 59+	2- 3+  0  1 11- -1 -1  0
Curve Equation t Generators 42834w1 [1,1,1,-86578,-9841633] 1 [2957:158523:1]
42834x (2 curves)	0	2- 3+ 11- 59-	2- 3+  0  0 11- -4 -2  4
Curve Equation t 42834x1 [1,1,1,-286228,54453653] 2 42834x2 [1,1,1,299412,249354645] 2
42834y (4 curves)	0	2- 3+ 11- 59-	2- 3+  2  0 11-  6 -2 -4
Curve Equation t 42834y1 [1,1,1,-4177,101663] 2 42834y2 [1,1,1,-6597,-32889] 4 42834y3 [1,1,1,26073,-228909] 2 42834y4 [1,1,1,-77987,-8399797] 2
42834z (1 curve)	0	2- 3+ 11- 59-	2- 3+ -2 -2 11-  4  0 -2
Curve Equation t 42834z1 [1,1,1,-19,-43] 1
42834ba (1 curve)	0	2- 3+ 11- 59-	2- 3+ -3  0 11-  2  1  7
Curve Equation t 42834ba1 [1,1,1,-10227,-402423] 1
42834bb (2 curves)	0	2- 3+ 11- 59-	2- 3+  4  4 11-  4 -6  4
Curve Equation t 42834bb1 [1,1,1,-48826,3955271] 2 42834bb2 [1,1,1,28614,15416391] 2
42834bc (2 curves)	2	2- 3- 11+ 59-	2- 3- -2 -4 11+ -2 -4 -2
Curve Equation t Generators 42834bc1 [1,0,0,-11734,451364] 2 [-124:122:1]&[-100:842:1] 42834bc2 [1,0,0,-39894,-2550492] 2 [-144:534:1]&[-132:714:1]
42834bd (2 curves)	0	2- 3- 11- 59+	2- 3-  0  1 11- -5  3 -8
Curve Equation t 42834bd1 [1,0,0,1147,11463] 1 42834bd2 [1,0,0,-26078,1637340] 1
42834be (1 curve)	0	2- 3- 11- 59+	2- 3-  1  2 11-  1 -7  6
Curve Equation t 42834be1 [1,0,0,-2112085,-1181625631] 1
42834bf (1 curve)	0	2- 3- 11- 59+	2- 3- -1 -4 11-  6  3 -5
Curve Equation t 42834bf1 [1,0,0,-123846,-27103548] 1
42834bg (2 curves)	0	2- 3- 11- 59+	2- 3-  2  2 11-  6 -6  4
Curve Equation t 42834bg1 [1,0,0,-132437,-18561795] 2 42834bg2 [1,0,0,-131227,-18917293] 2
42834bh (2 curves)	0	2- 3- 11- 59+	2- 3-  2 -2 11- -2  0  2
Curve Equation t 42834bh1 [1,0,0,-3572,-25200] 2 42834bh2 [1,0,0,-32612,2245728] 2
42834bi (1 curve)	0	2- 3- 11- 59+	2- 3- -2  2 11-  4  8 -6
Curve Equation t 42834bi1 [1,0,0,14336,-7391680] 1
42834bj (2 curves)	1	2- 3- 11- 59-	2- 3- -4  0 11- -2  8 -4
Curve Equation t Generators 42834bj1 [1,0,0,-7565,-117039] 2 [-56:391:1] 42834bj2 [1,0,0,-60805,5686121] 2 [164:281:1]

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