Cremona's table of elliptic curves

33856 = 2⁶ · 23²

Class	r	Atkin-Lehner	Eigenvalues
33856a (2 curves)	0	2+ 23-	2+  0  0 -4  6  2 -6 -6
Curve Equation t 33856a1 [0,0,0,10580,-584016] 2 33856a2 [0,0,0,-74060,-6034832] 2
33856b (1 curve)	2	2+ 23-	2+  0  1 -2 -4 -1  2 -2
Curve Equation t Generators 33856b1 [0,0,0,-92,368] 1 [-11:7:1]&[4:8:1]
33856c (1 curve)	0	2+ 23-	2+  0 -1  2  4 -1 -2  2
Curve Equation t 33856c1 [0,0,0,-48668,-4477456] 1
33856d (2 curves)	0	2+ 23-	2+  0  4  4  2  2  2 -2
Curve Equation t 33856d1 [0,0,0,-344908,90522480] 2 33856d2 [0,0,0,-5761868,5323305840] 2
33856e (1 curve)	0	2+ 23-	2+  1  2  2 -4 -4 -7 -3
Curve Equation t 33856e1 [0,1,0,16223,4814527] 1
33856f (1 curve)	0	2+ 23-	2+  1  2 -2 -6  1 -6 -4
Curve Equation t 33856f1 [0,1,0,16223,-1901657] 1
33856g (1 curve)	0	2+ 23-	2+  1 -2  2  6  1  6  4
Curve Equation t 33856g1 [0,1,0,31,167] 1
33856h (1 curve)	0	2+ 23-	2+  1 -2 -2  4 -4  7  3
Curve Equation t 33856h1 [0,1,0,31,-385] 1
33856i (1 curve)	0	2+ 23-	2+  1 -2  4 -2 -7  4 -6
Curve Equation t 33856i1 [0,1,0,-9169,-352745] 1
33856j (1 curve)	0	2+ 23-	2+  1 -4 -2 -4  5  2  6
Curve Equation t 33856j1 [0,1,0,-705,-90361] 1
33856k (2 curves)	0	2+ 23-	2+ -1  0 -2  0  1  6  2
Curve Equation t 33856k1 [0,-1,0,3527,-40831] 1 33856k2 [0,-1,0,-38793,3607153] 1
33856l (2 curves)	0	2+ 23-	2+  2  3 -2  6  1 -6  2
Curve Equation t 33856l1 [0,-1,0,31,1121] 1 33856l2 [0,-1,0,-7329,244001] 1
33856m (1 curve)	0	2+ 23-	2+  2  3  4 -2 -5  6 -4
Curve Equation t 33856m1 [0,-1,0,4056,40106] 1
33856n (2 curves)	0	2+ 23-	2+  2 -3  2 -6  1  6 -2
Curve Equation t 33856n1 [0,-1,0,16223,-13769439] 1 33856n2 [0,-1,0,-3877217,-2937742879] 1
33856o (1 curve)	2	2+ 23-	2+  2 -3 -4  2 -5 -6  4
Curve Equation t Generators 33856o1 [0,-1,0,8,-6] 1 [3:6:1]&[42:99:8]
33856p (1 curve)	0	2+ 23-	2+ -2  1  2 -2  5 -2  6
Curve Equation t 33856p1 [0,1,0,-705,-9953] 1
33856q (1 curve)	0	2+ 23-	2+ -2 -1 -2  2  5  2 -6
Curve Equation t 33856q1 [0,1,0,-373121,118113631] 1
33856r (1 curve)	0	2+ 23-	2+ -2  3 -4  2 -5  6  4
Curve Equation t 33856r1 [0,1,0,4056,-40106] 1
33856s (1 curve)	2	2+ 23-	2+ -2 -3  4 -2 -5 -6 -4
Curve Equation t Generators 33856s1 [0,1,0,8,6] 1 [1:4:1]&[5:14:1]
33856t (1 curve)	0	2+ 23-	2+  3 -2  4  2  5 -4 -2
Curve Equation t 33856t1 [0,0,0,-2116,-97336] 1
33856u (1 curve)	0	2+ 23-	2+ -3  0  2  0  5  6  6
Curve Equation t 33856u1 [0,0,0,-116380,15281752] 1
33856v (1 curve)	0	2+ 23-	2+ -3  2  2  4 -4  1 -7
Curve Equation t 33856v1 [0,0,0,-40204,3106288] 1
33856w (1 curve)	0	2+ 23-	2+ -3 -2 -2 -4 -4 -1  7
Curve Equation t 33856w1 [0,0,0,-21267916,-37794206096] 1
33856x (2 curves)	1	2- 23-	2-  0  0  4 -6  2 -6  6
Curve Equation t Generators 33856x1 [0,0,0,10580,584016] 2 [5520:133308:125] 33856x2 [0,0,0,-74060,6034832] 2 [-186507:2092195:729]
33856y (1 curve)	1	2- 23-	2-  0  1  2  4 -1  2  2
Curve Equation t Generators 33856y1 [0,0,0,-92,-368] 1 [12:16:1]
33856z (1 curve)	1	2- 23-	2-  0 -1 -2 -4 -1 -2 -2
Curve Equation t Generators 33856z1 [0,0,0,-48668,4477456] 1 [0:2116:1]
33856ba (4 curves)	1	2- 23-	2-  0 -2  0  0 -6 -2  0
Curve Equation t Generators 33856ba1 [0,0,0,529,0] 2 [77616:637140:1331] 33856ba2 [0,0,0,-2116,0] 4 [242:3696:1] 33856ba3 [0,0,0,-23276,-1362704] 2 [-90:56:1] 33856ba4 [0,0,0,-23276,1362704] 2 [-115:1587:1]
33856bb (2 curves)	1	2- 23-	2-  0  4  0  0 -6  8  0
Curve Equation t Generators 33856bb1 [0,0,0,-23,0] 2 [1620:5418:125] 33856bb2 [0,0,0,92,0] 2 [50:360:1]
33856bc (2 curves)	1	2- 23-	2-  0  4 -4 -2  2  2  2
Curve Equation t Generators 33856bc1 [0,0,0,-344908,-90522480] 2 [266253295520:-17327981108724:61629875] 33856bc2 [0,0,0,-5761868,-5323305840] 2 [12298587935980829794080:-687133894952236915901796:2662817432918116375]
33856bd (2 curves)	1	2- 23-	2-  0 -4  0  0 -6 -8  0
Curve Equation t Generators 33856bd1 [0,0,0,-12167,0] 2 [6084:474474:1] 33856bd2 [0,0,0,48668,0] 2 [2:312:1]
33856be (2 curves)	1	2- 23-	2-  1  0  2  0  1  6 -2
Curve Equation t Generators 33856be1 [0,1,0,3527,40831] 1 [32514:5862907:1] 33856be2 [0,1,0,-38793,-3607153] 1 [91727671807818:-16540018867447775:2821151997]
33856bf (1 curve)	1	2- 23-	2- -1  2  2  6  1 -6  4
Curve Equation t Generators 33856bf1 [0,-1,0,16223,1901657] 1 [41244280:764172769:166375]
33856bg (1 curve)	1	2- 23-	2- -1  2 -2  4 -4 -7  3
Curve Equation t Generators 33856bg1 [0,-1,0,16223,-4814527] 1 [1741:72784:1]
33856bh (1 curve)	1	2- 23-	2- -1 -2  2 -4 -4  7 -3
Curve Equation t Generators 33856bh1 [0,-1,0,31,385] 1 [-3:16:1]
33856bi (1 curve)	1	2- 23-	2- -1 -2 -2 -6  1  6 -4
Curve Equation t Generators 33856bi1 [0,-1,0,31,-167] 1 [8:23:1]
33856bj (1 curve)	1	2- 23-	2- -1 -2 -4  2 -7  4  6
Curve Equation t Generators 33856bj1 [0,-1,0,-9169,352745] 1 [8:529:1]
33856bk (1 curve)	1	2- 23-	2- -1 -4  2  4  5  2 -6
Curve Equation t Generators 33856bk1 [0,-1,0,-705,90361] 1 [192:2645:1]
33856bl (1 curve)	1	2- 23-	2-  2  1 -2  2  5 -2 -6
Curve Equation t Generators 33856bl1 [0,-1,0,-705,9953] 1 [8:69:1]
33856bm (1 curve)	1	2- 23-	2-  2 -1  2 -2  5  2  6
Curve Equation t Generators 33856bm1 [0,-1,0,-373121,-118113631] 1 [11943446298054624133573118872:-723351076246148076285353412171:3162843506922812556825241]
33856bn (2 curves)	1	2- 23-	2- -2  3  2 -6  1 -6 -2
Curve Equation t Generators 33856bn1 [0,1,0,31,-1121] 1 [10:17:1] 33856bn2 [0,1,0,-7329,-244001] 1 [23330:277389:125]
33856bo (2 curves)	1	2- 23-	2- -2 -3 -2  6  1  6  2
Curve Equation t Generators 33856bo1 [0,1,0,16223,13769439] 1 [-214:737:1] 33856bo2 [0,1,0,-3877217,2937742879] 1 [1234:5819:1]
33856bp (1 curve)	1	2- 23-	2-  3  0 -2  0  5  6 -6
Curve Equation t Generators 33856bp1 [0,0,0,-116380,-15281752] 1 [48587406288363:-938358898401655:80118732231]
33856bq (1 curve)	1	2- 23-	2-  3  2 -2 -4 -4  1  7
Curve Equation t Generators 33856bq1 [0,0,0,-40204,-3106288] 1 [261234:3891968:729]
33856br (1 curve)	1	2- 23-	2-  3 -2  2  4 -4 -1 -7
Curve Equation t Generators 33856br1 [0,0,0,-21267916,37794206096] 1 [28219158930:-3058396270336:2146689]
33856bs (1 curve)	1	2- 23-	2- -3 -2 -4 -2  5 -4  2
Curve Equation t Generators 33856bs1 [0,0,0,-2116,97336] 1 [69:529:1]

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

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