Cremona's table of elliptic curves

84270 = 2 · 3 · 5 · 53²

Class	r	Atkin-Lehner	Eigenvalues
84270a (2 curves)	1	2+ 3+ 5+ 53+	2+ 3+ 5+  0  2  2  0  2
Curve Equation t Generators 84270a1 [1,1,0,-28148,-4056048] 2 [1645056:23346108:4913] 84270a2 [1,1,0,-589948,-174506168] 2 [4585604769:-124853633918:3581577]
84270b (4 curves)	1	2+ 3+ 5+ 53+	2+ 3+ 5+  2  0 -4  0 -8
Curve Equation t Generators 84270b1 [1,1,0,-589948,-120910448] 2 [-213808:882188:343] 84270b2 [1,1,0,-3623668,2560291288] 2 [23837009:-6293560204:343] 84270b3 [1,1,0,-43567648,-110704555028] 2 [-110615101248442:56966017030532:29019350017] 84270b4 [1,1,0,-43651918,-110254907162] 2 [5907369418988720229547:-1554307234934887439159882:84858586455161519]
84270c (1 curve)	0	2+ 3+ 5- 53+	2+ 3+ 5- -3 -3 -2 -4  7
Curve Equation t 84270c1 [1,1,0,-1140512,543496704] 1
84270d (2 curves)	1	2+ 3+ 5- 53-	2+ 3+ 5-  0  2  6 -6 -8
Curve Equation t Generators 84270d1 [1,1,0,48,-276] 2 [13:46:1] 84270d2 [1,1,0,-482,-3774] 2 [-13:29:1]
84270e (2 curves)	1	2+ 3+ 5- 53-	2+ 3+ 5-  4  0  2  0  6
Curve Equation t Generators 84270e1 [1,1,0,-2602,10324] 2 [-12:206:1] 84270e2 [1,1,0,10118,94276] 2 [57:899:1]
84270f (1 curve)	1	2+ 3+ 5- 53-	2+ 3+ 5- -5 -3 -4 -6 -3
Curve Equation t Generators 84270f1 [1,1,0,269675178,16759053283284] 1 [48493075:101426719658:24389]
84270g (4 curves)	0	2+ 3- 5+ 53+	2+ 3- 5+  0  0 -2 -2 -8
Curve Equation t 84270g1 [1,0,1,-84329,13047452] 2 84270g2 [1,0,1,-1488829,699005252] 4 84270g3 [1,0,1,-1629279,559173232] 2 84270g4 [1,0,1,-23820379,44745754472] 2
84270h (2 curves)	0	2+ 3- 5+ 53+	2+ 3- 5+ -2 -4  0 -4  4
Curve Equation t 84270h1 [1,0,1,-477589,114002912] 2 84270h2 [1,0,1,-1825909,-828203104] 2
84270i (1 curve)	2	2+ 3- 5+ 53+	2+ 3- 5+ -2 -5  3 -6  0
Curve Equation t Generators 84270i1 [1,0,1,-854,9452] 1 [-27:127:1]&[6:64:1]
84270j (1 curve)	0	2+ 3- 5+ 53+	2+ 3- 5+  3  0 -2  4 -5
Curve Equation t 84270j1 [1,0,1,-2237115749,-40727644817584] 1
84270k (4 curves)	0	2+ 3- 5+ 53+	2+ 3- 5+  4  4  6 -6  0
Curve Equation t 84270k1 [1,0,1,-379274,7923836] 2 84270k2 [1,0,1,-3974794,-3038200708] 4 84270k3 [1,0,1,-1952314,-6126932164] 2 84270k4 [1,0,1,-63525594,-194887057988] 2
84270l (4 curves)	0	2+ 3- 5+ 53+	2+ 3- 5+ -4  4 -2  2  0
Curve Equation t 84270l1 [1,0,1,-2543718099,49379844639022] 2 84270l2 [1,0,1,-2543942819,49370683523726] 4 84270l3 [1,0,1,-2175345839,64178403720662] 2 84270l4 [1,0,1,-2916135319,33976652846726] 2
84270m (1 curve)	0	2+ 3- 5+ 53+	2+ 3- 5+  5 -5 -2  8 -3
Curve Equation t 84270m1 [1,0,1,-24350209819,-1462523251600858] 1
84270n (1 curve)	1	2+ 3- 5+ 53-	2+ 3- 5+  0 -3  1  2  2
Curve Equation t Generators 84270n1 [1,0,1,-983209,377026436] 1 [234:12523:1]
84270o (1 curve)	1	2+ 3- 5+ 53-	2+ 3- 5+ -2  1 -1  2  4
Curve Equation t Generators 84270o1 [1,0,1,-14382139,-5719486714] 1 [35503:6633128:1]
84270p (1 curve)	1	2+ 3- 5+ 53-	2+ 3- 5+  4  1 -7  2 -2
Curve Equation t Generators 84270p1 [1,0,1,-28149,-2132384] 1 [3033838:29179641:12167]
84270q (2 curves)	1	2+ 3- 5+ 53-	2+ 3- 5+ -4  0  0 -6  0
Curve Equation t Generators 84270q1 [1,0,1,-5087264,-991611538] 2 [-720:48298:1] 84270q2 [1,0,1,-49047584,131381704046] 2 [5424:155173:1]
84270r (2 curves)	1	2+ 3- 5- 53+	2+ 3- 5-  0 -2  4 -2 -4
Curve Equation t Generators 84270r1 [1,0,1,-325903,-127835134] 2 [4147880:-757550339:125] 84270r2 [1,0,1,-6280983,-6056712782] 2 [-177980:160557:125]
84270s (1 curve)	1	2+ 3- 5- 53+	2+ 3- 5-  1 -1 -6 -4  1
Curve Equation t Generators 84270s1 [1,0,1,-309049048,2091202608806] 1 [10092:7594:1]
84270t (1 curve)	1	2+ 3- 5- 53+	2+ 3- 5-  2 -5 -5  2  0
Curve Equation t Generators 84270t1 [1,0,1,47,548] 1 [-6:10:1]
84270u (1 curve)	1	2+ 3- 5- 53+	2+ 3- 5-  3  4 -2 -8 -1
Curve Equation t Generators 84270u1 [1,0,1,-28043,2490806] 1 [15:1432:1]
84270v (2 curves)	1	2+ 3- 5- 53+	2+ 3- 5-  4  2  0  2  4
Curve Equation t Generators 84270v1 [1,0,1,9646047,-22638571244] 2 [2007880:-141692961:512] 84270v2 [1,0,1,-85635233,-258898033132] 2 [143382:-15998725:8]
84270w (2 curves)	1	2+ 3- 5- 53+	2+ 3- 5- -4  4  4 -4  6
Curve Equation t Generators 84270w1 [1,0,1,-382083,-90868694] 2 [1385:44442:1] 84270w2 [1,0,1,-297813,-132026162] 2 [6756752:-226372070:4913]
84270x (2 curves)	0	2- 3+ 5+ 53+	2- 3+ 5+  0 -4 -4  0  2
Curve Equation t 84270x1 [1,1,1,-7872281,-6340707097] 2 84270x2 [1,1,1,19431199,-40601113801] 2
84270y (1 curve)	1	2- 3+ 5+ 53-	2- 3+ 5+  2 -5 -5  2  0
Curve Equation t Generators 84270y1 [1,1,1,133369,81088253] 1 [-13:8914:1]
84270z (1 curve)	1	2- 3+ 5+ 53-	2- 3+ 5+  3  4 -2 -8  1
Curve Equation t Generators 84270z1 [1,1,1,-78771441,371138847759] 1 [60159:14576720:1]
84270ba (4 curves)	1	2- 3+ 5- 53+	2- 3+ 5-  0  0 -2  2  4
Curve Equation t Generators 84270ba1 [1,1,1,172695,8576727] 4 [392557:12094056:1331] 84270ba2 [1,1,1,-726185,69341015] 4 [-357:17008:1] 84270ba3 [1,1,1,-6681265,-6597966553] 2 [6417:460276:1] 84270ba4 [1,1,1,-9153185,10643540615] 2 [74631:2134676:27]
84270bb (1 curve)	1	2- 3+ 5- 53+	2- 3+ 5-  0 -3  1  2 -2
Curve Equation t Generators 84270bb1 [1,1,1,-350,2387] 1 [11:-1:1]
84270bc (1 curve)	1	2- 3+ 5- 53+	2- 3+ 5-  1 -5  2 -4 -1
Curve Equation t Generators 84270bc1 [1,1,1,725737395,5464986335427] 1 [4734195:1165424028:125]
84270bd (1 curve)	1	2- 3+ 5- 53+	2- 3+ 5- -2  1 -1  2 -4
Curve Equation t Generators 84270bd1 [1,1,1,-5120,-40543] 1 [-43:341:1]
84270be (2 curves)	1	2- 3+ 5- 53+	2- 3+ 5- -2  4 -4 -4 -4
Curve Equation t Generators 84270be1 [1,1,1,-66070,-1782865] 2 [-449261225:-3975975801:2248091] 84270be2 [1,1,1,-824500,-288166033] 2 [-67668853997166974:108624557266451539:129293234721496]
84270bf (1 curve)	1	2- 3+ 5- 53+	2- 3+ 5-  4  1 -7  2  2
Curve Equation t Generators 84270bf1 [1,1,1,-79069195,-317146618855] 1 [14709893:523427798:1331]
84270bg (8 curves)	1	2- 3+ 5- 53+	2- 3+ 5- -4  0  2  6  4
Curve Equation t Generators 84270bg1 [1,1,1,4155,318267] 2 [43295:559644:343] 84270bg2 [1,1,1,-52025,4116035] 4 [38998304:-1342343861:32768] 84270bg3 [1,1,1,-37980,-9339075] 2 [1223:41523:1] 84270bg4 [1,1,1,-192475,-28075105] 2 [-6532961836310:59590960257951:26730899000] 84270bg5 [1,1,1,-810455,280487927] 2 [38086:2565233:8] 84270bg6 [1,1,1,-936860,-348756163] 4 [-573:871:1] 84270bg7 [1,1,1,-14981860,-22326372163] 2 [-4910581:2475387:2197] 84270bg8 [1,1,1,-1273940,-75856195] 2 [1223:13433:1]
84270bh (1 curve)	0	2- 3+ 5- 53-	2- 3+ 5- -2 -5  3 -6  0
Curve Equation t 84270bh1 [1,1,1,-2397540,1416812697] 1
84270bi (1 curve)	0	2- 3+ 5- 53-	2- 3+ 5-  3  0 -2  4  5
Curve Equation t 84270bi1 [1,1,1,-796410,-273896313] 1
84270bj (2 curves)	0	2- 3+ 5- 53-	2- 3+ 5- -4  0  0 -6  0
Curve Equation t 84270bj1 [1,1,1,-14290123230,-147570990412773] 2 84270bj2 [1,1,1,-137774662110,19560265051941915] 2
84270bk (2 curves)	0	2- 3- 5+ 53-	2- 3- 5+  0  2  6 -6  8
Curve Equation t 84270bk1 [1,0,0,133369,-44034939] 2 84270bk2 [1,0,0,-1355401,-532053745] 2
84270bl (2 curves)	0	2- 3- 5+ 53-	2- 3- 5+  4  0  2  0 -6
Curve Equation t 84270bl1 [1,0,0,-7310481,1697825961] 2 84270bl2 [1,0,0,28419999,13410277305] 2
84270bm (1 curve)	2	2- 3- 5+ 53-	2- 3- 5+ -5 -3 -4 -6  3
Curve Equation t Generators 84270bm1 [1,0,0,96004,112577040] 1 [-3322:10247:8]&[-392:4036:1]
84270bn (4 curves)	0	2- 3- 5- 53+	2- 3- 5-  0  4 -2 -2  8
Curve Equation t 84270bn1 [1,0,0,-44209505,-35402816823] 4 84270bn2 [1,0,0,-561964385,-5122551614775] 4 84270bn3 [1,0,0,-419042465,-7790532264183] 2 84270bn4 [1,0,0,-8988964385,-328030023014775] 2
84270bo (2 curves)	0	2- 3- 5- 53+	2- 3- 5-  2  0  0  8  0
Curve Equation t 84270bo1 [1,0,0,-29139220,60431990672] 2 84270bo2 [1,0,0,-465994900,3871823056400] 2
84270bp (1 curve)	0	2- 3- 5- 53+	2- 3- 5- -3  1 -2  4 -7
Curve Equation t 84270bp1 [1,0,0,18200,-857800] 1
84270bq (2 curves)	0	2- 3- 5- 53+	2- 3- 5-  4  2  6 -4 -2
Curve Equation t 84270bq1 [1,0,0,-2313270,1521339300] 2 84270bq2 [1,0,0,-38268470,91114506660] 2
84270br (2 curves)	0	2- 3- 5- 53+	2- 3- 5- -4 -6  6 -4  6
Curve Equation t 84270br1 [1,0,0,931125,-15237511443] 2 84270br2 [1,0,0,-86850125,-304546955193] 2

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