Cremona's table of elliptic curves

20874 = 2 · 3 · 7² · 71

Class	r	Atkin-Lehner	Eigenvalues
20874a (1 curve)	1	2+ 3+ 7+ 71+	2+ 3+  0 7+ -4  4  7 -4
Curve Equation t Generators 20874a1 [1,1,0,-38980,-3089708] 1 [314:3812:1]
20874b (1 curve)	1	2+ 3+ 7+ 71+	2+ 3+ -3 7+ -4 -2 -8  2
Curve Equation t Generators 20874b1 [1,1,0,-82884,9149904] 1 [216:-1284:1]
20874c (1 curve)	2	2+ 3+ 7+ 71-	2+ 3+ -3 7+ -4 -2  0 -2
Curve Equation t Generators 20874c1 [1,1,0,-74,36] 1 [-8:18:1]&[-7:20:1]
20874d (2 curves)	0	2+ 3+ 7- 71+	2+ 3+  0 7-  6  4  6  1
Curve Equation t 20874d1 [1,1,0,-515,-38331] 1 20874d2 [1,1,0,4630,1018452] 1
20874e (1 curve)	0	2+ 3+ 7- 71+	2+ 3+  1 7-  1  1  2  0
Curve Equation t 20874e1 [1,1,0,7668,1115472] 1
20874f (2 curves)	0	2+ 3+ 7- 71+	2+ 3+ -2 7-  4  4  2  0
Curve Equation t 20874f1 [1,1,0,30649,2857569] 2 20874f2 [1,1,0,-212881,29207515] 2
20874g (2 curves)	0	2+ 3+ 7- 71+	2+ 3+ -3 7-  3 -2  6 -5
Curve Equation t 20874g1 [1,1,0,-1127319,-461324331] 1 20874g2 [1,1,0,718266,-1767224556] 1
20874h (1 curve)	1	2+ 3+ 7- 71-	2+ 3+  1 7-  1 -3 -2  6
Curve Equation t Generators 20874h1 [1,1,0,-10462,-429008] 1 [272:3980:1]
20874i (1 curve)	1	2+ 3+ 7- 71-	2+ 3+ -1 7- -4 -2 -4  2
Curve Equation t Generators 20874i1 [1,1,0,-1120578,206957556] 1 [273876:143190294:1]
20874j (2 curves)	1	2+ 3+ 7- 71-	2+ 3+  2 7-  2  4  2 -4
Curve Equation t Generators 20874j1 [1,1,0,906,-156960] 2 [560:13000:1] 20874j2 [1,1,0,-38784,-2863818] 2 [-1002:2265:8]
20874k (1 curve)	1	2+ 3- 7+ 71-	2+ 3-  1 7+ -4  2  4 -2
Curve Equation t Generators 20874k1 [1,0,1,-54908348,-71151166726] 1 [-763155:24269387:125]
20874l (1 curve)	1	2+ 3- 7- 71+	2+ 3-  0 7- -4 -4 -7  4
Curve Equation t Generators 20874l1 [1,0,1,-796,8894] 1 [19:-37:1]
20874m (1 curve)	1	2+ 3- 7- 71+	2+ 3- -1 7-  1 -1 -2  0
Curve Equation t Generators 20874m1 [1,0,1,156,-3230] 1 [193:2591:1]
20874n (2 curves)	1	2+ 3- 7- 71+	2+ 3-  2 7- -2  0  0  4
Curve Equation t Generators 20874n1 [1,0,1,-14040,-652634] 2 [1289:45435:1] 20874n2 [1,0,1,-225720,-41295194] 2 [10606:351573:8]
20874o (2 curves)	1	2+ 3- 7- 71+	2+ 3-  2 7-  4 -4 -2  0
Curve Equation t Generators 20874o1 [1,0,1,625,-8242] 2 [18:85:1] 20874o2 [1,0,1,-4345,-85774] 2 [-38:176:1]
20874p (1 curve)	1	2+ 3- 7- 71+	2+ 3-  3 7- -4  2  8 -2
Curve Equation t Generators 20874p1 [1,0,1,-1692,-26918] 1 [-645:317:27]
20874q (1 curve)	0	2+ 3- 7- 71-	2+ 3-  0 7-  2 -4  6 -1
Curve Equation t 20874q1 [1,0,1,-421671,-105463928] 1
20874r (2 curves)	0	2+ 3- 7- 71-	2+ 3-  2 7- -6 -4 -6  4
Curve Equation t 20874r1 [1,0,1,-38785,-3877324] 2 20874r2 [1,0,1,-673825,-212932492] 2
20874s (1 curve)	0	2+ 3- 7- 71-	2+ 3-  3 7- -4  2  0  2
Curve Equation t 20874s1 [1,0,1,-3652,-23278] 1
20874t (1 curve)	0	2- 3+ 7+ 71+	2- 3+  1 7+  0 -4 -6  2
Curve Equation t 20874t1 [1,1,1,-92541450,342612863739] 1
20874u (1 curve)	1	2- 3+ 7+ 71-	2- 3+  1 7+  0  0  6 -2
Curve Equation t Generators 20874u1 [1,1,1,-3630705,2539847379] 1 [-2177:12590:1]
20874v (4 curves)	1	2- 3+ 7- 71+	2- 3+  0 7-  0 -2  0 -8
Curve Equation t Generators 20874v1 [1,1,1,-338493,309267027] 2 [295:15188:1] 20874v2 [1,1,1,-9244733,10786567763] 2 [-2521:135716:1] 20874v3 [1,1,1,-46766973,123080788179] 2 [3961:-364:1] 20874v4 [1,1,1,-748272533,7878084452867] 2 [5417:1993208:1]
20874w (1 curve)	1	2- 3+ 7- 71+	2- 3+  0 7- -2  4  6  5
Curve Equation t Generators 20874w1 [1,1,1,-9948,-959715] 1 [321:5229:1]
20874x (1 curve)	1	2- 3+ 7- 71+	2- 3+ -1 7-  0  4 -2  6
Curve Equation t Generators 20874x1 [1,1,1,-561,4815] 1 [7:32:1]
20874y (1 curve)	1	2- 3+ 7- 71+	2- 3+  2 7- -4  0 -4  3
Curve Equation t Generators 20874y1 [1,1,1,8623,623279] 1 [-1:784:1]
20874z (2 curves)	1	2- 3+ 7- 71+	2- 3+ -2 7-  6 -2  2  0
Curve Equation t Generators 20874z1 [1,1,1,-764,7517] 2 [-15:133:1] 20874z2 [1,1,1,356,29021] 2 [-7:165:1]
20874ba (2 curves)	1	2- 3+ 7- 71+	2- 3+ -3 7-  3  7 -6 -2
Curve Equation t Generators 20874ba1 [1,1,1,-2402,115247] 1 [-1:343:1] 20874ba2 [1,1,1,-269942,53870207] 1 [293:49:1]
20874bb (1 curve)	1	2- 3+ 7- 71+	2- 3+ -3 7- -5  4  0  2
Curve Equation t Generators 20874bb1 [1,1,1,13,-463] 1 [17:62:1]
20874bc (2 curves)	1	2- 3+ 7- 71+	2- 3+ -4 7-  0 -2  4  0
Curve Equation t Generators 20874bc1 [1,1,1,-2255,-46159] 2 [447:9184:1] 20874bc2 [1,1,1,-37045,-2759779] 2 [3718:69993:8]
20874bd (2 curves)	0	2- 3+ 7- 71-	2- 3+ -1 7- -3  6  2 -5
Curve Equation t 20874bd1 [1,1,1,-981,-17445] 1 20874bd2 [1,1,1,-11271,1773015] 1
20874be (1 curve)	1	2- 3- 7+ 71+	2- 3-  1 7+  0 -4  2 -6
Curve Equation t Generators 20874be1 [1,0,0,-27490,-1734076] 1 [-94:194:1]
20874bf (1 curve)	1	2- 3- 7+ 71+	2- 3-  3 7+ -5 -4  0 -2
Curve Equation t Generators 20874bf1 [1,0,0,636,160656] 1 [20:416:1]
20874bg (1 curve)	0	2- 3- 7- 71+	2- 3- -1 7-  0  4  6 -2
Curve Equation t 20874bg1 [1,0,0,-1888601,-999141123] 1
20874bh (4 curves)	0	2- 3- 7- 71+	2- 3-  2 7-  0 -2  6  4
Curve Equation t 20874bh1 [1,0,0,15238,2902500] 2 20874bh2 [1,0,0,-235642,40785380] 4 20874bh3 [1,0,0,-792282,-224286588] 2 20874bh4 [1,0,0,-3693082,2731365188] 2
20874bi (2 curves)	0	2- 3- 7- 71+	2- 3-  2 7-  6  2 -2  0
Curve Equation t 20874bi1 [1,0,0,-37437,-2690703] 2 20874bi2 [1,0,0,17443,-9901935] 2
20874bj (1 curve)	1	2- 3- 7- 71-	2- 3- -1 7-  0  0 -6  2
Curve Equation t Generators 20874bj1 [1,0,0,-74096,-7415388] 1 [-176:514:1]
20874bk (1 curve)	1	2- 3- 7- 71-	2- 3-  2 7-  0  0  0 -7
Curve Equation t Generators 20874bk1 [1,0,0,-3627,-84687] 1 [116:971:1]

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