Cremona's table of elliptic curves

31605 = 3 · 5 · 7² · 43

Class	r	Atkin-Lehner	Eigenvalues
31605a (1 curve)	0	3+ 5+ 7- 43+	0 3+ 5+ 7- -5  5 -5  6
Curve Equation t 31605a1 [0,-1,1,88919,-48267213] 1
31605b (4 curves)	0	3+ 5+ 7- 43+	1 3+ 5+ 7-  0 -2 -2  0
Curve Equation t 31605b1 [1,1,0,-87401668,-314541522077] 2 31605b2 [1,1,0,-87401913,-314539670808] 4 31605b3 [1,1,0,-85136888,-331610258223] 2 31605b4 [1,1,0,-89670858,-297350597277] 2
31605c (1 curve)	2	3+ 5+ 7- 43+	-2 3+ 5+ 7- -3 -5  7  0
Curve Equation t Generators 31605c1 [0,-1,1,474,-14218] 1 [75:661:1]&[21:67:1]
31605d (1 curve)	0	3+ 5+ 7- 43+	-2 3+ 5+ 7-  6 -3  4 -4
Curve Equation t 31605d1 [0,-1,1,1454,-43128] 1
31605e (2 curves)	1	3+ 5+ 7- 43-	0 3+ 5+ 7-  0  4 -3  4
Curve Equation t Generators 31605e1 [0,-1,1,-51,-43] 1 [-1:2:1] 31605e2 [0,-1,1,-2151,39122] 1 [14:107:1]
31605f (2 curves)	1	3+ 5+ 7- 43-	1 3+ 5+ 7-  4  0  4  0
Curve Equation t Generators 31605f1 [1,1,0,-3308,208923] 2 [62:3399:8] 31605f2 [1,1,0,-77053,8188132] 2 [1438:2731:8]
31605g (1 curve)	1	3+ 5- 7- 43+	0 3+ 5- 7- -4  1 -2  8
Curve Equation t Generators 31605g1 [0,-1,1,4345,36056] 1 [180:2572:1]
31605h (4 curves)	1	3+ 5- 7- 43+	1 3+ 5- 7- -4  2 -6  0
Curve Equation t Generators 31605h1 [1,1,0,-4704417,3925455696] 2 [-368:75064:1] 31605h2 [1,1,0,-4710542,3914713671] 4 [-2150586:437571613:5832] 31605h3 [1,1,0,-2129467,8188457656] 2 [655495753794292860800:-41334546741479028873889:167087494664290304] 31605h4 [1,1,0,-7389617,-1046397414] 2 [630063277498122499200:-31918535490858051088743:146770154877878272]
31605i (1 curve)	0	3+ 5- 7- 43-	0 3+ 5- 7-  0  3  6  0
Curve Equation t 31605i1 [0,-1,1,-40245,3120998] 1
31605j (1 curve)	0	3+ 5- 7- 43-	0 3+ 5- 7-  0 -4 -1  0
Curve Equation t 31605j1 [0,-1,1,-170051625,-842177399344] 1
31605k (1 curve)	0	3+ 5- 7- 43-	0 3+ 5- 7-  2  4  3  2
Curve Equation t 31605k1 [0,-1,1,-1885,32136] 1
31605l (2 curves)	0	3+ 5- 7- 43-	0 3+ 5- 7-  6  4  3 -2
Curve Equation t 31605l1 [0,-1,1,-94107995,-351357416194] 1 31605l2 [0,-1,1,-94612205,-347401535797] 1
31605m (2 curves)	0	3+ 5- 7- 43-	1 3+ 5- 7-  0  0  2 -2
Curve Equation t 31605m1 [1,1,0,-2867,73536] 2 31605m2 [1,1,0,-49172,4176159] 2
31605n (1 curve)	1	3- 5+ 7+ 43-	0 3- 5+ 7+  0  4  1  0
Curve Equation t Generators 31605n1 [0,1,1,-3470441,2454336140] 1 [892:8320:1]
31605o (1 curve)	1	3- 5+ 7+ 43-	0 3- 5+ 7+  2 -4 -3 -2
Curve Equation t Generators 31605o1 [0,1,1,-92381,-10837984] 1 [-176:16:1]
31605p (2 curves)	1	3- 5+ 7+ 43-	0 3- 5+ 7+  6 -4 -3  2
Curve Equation t Generators 31605p1 [0,1,1,-1920571,1023816910] 3 [3141392:6543799:4096] 31605p2 [0,1,1,-1930861,1012280791] 1 [709:451:1]
31605q (1 curve)	1	3- 5+ 7- 43+	0 3- 5+ 7- -4 -1  2 -8
Curve Equation t Generators 31605q1 [0,1,1,89,-80] 1 [2:10:1]
31605r (2 curves)	1	3- 5+ 7- 43+	1 3- 5+ 7- -2 -2  0 -6
Curve Equation t Generators 31605r1 [1,0,1,-1104,-13919] 2 [-146:189:8] 31605r2 [1,0,1,121,-42829] 2 [39:127:1]
31605s (2 curves)	1	3- 5+ 7- 43+	1 3- 5+ 7-  4  4  6 -6
Curve Equation t Generators 31605s1 [1,0,1,-14089,56025911] 2 [-15116:442499:64] 31605s2 [1,0,1,-2283034,1310298707] 2 [9895:968486:1]
31605t (4 curves)	1	3- 5+ 7- 43+	-1 3- 5+ 7-  0  2 -6  0
Curve Equation t Generators 31605t1 [1,0,0,-6861,-216840] 2 [16383:391477:27] 31605t2 [1,0,0,-12986,227835] 4 [13:241:1] 31605t3 [1,0,0,47039,1752470] 2 [-31:530:1] 31605t4 [1,0,0,-171011,27186900] 2 [6672:1570:27]
31605u (1 curve)	1	3- 5+ 7- 43+	2 3- 5+ 7-  5 -1 -5 -4
Curve Equation t Generators 31605u1 [0,1,1,-822236,-291724555] 1 [9242:138911:8]
31605v (1 curve)	1	3- 5+ 7- 43+	-2 3- 5+ 7-  1 -5  3  0
Curve Equation t Generators 31605v1 [0,1,1,-882016,318538840] 1 [569:-1103:1]
31605w (1 curve)	0	3- 5+ 7- 43-	0 3- 5+ 7-  0 -3 -6  0
Curve Equation t 31605w1 [0,1,1,-821,-9334] 1
31605x (2 curves)	0	3- 5- 7+ 43-	0 3- 5- 7+  0 -4  3 -4
Curve Equation t 31605x1 [0,1,1,-2515,19681] 3 31605x2 [0,1,1,-105415,-13208114] 1
31605y (1 curve)	0	3- 5- 7- 43+	-2 3- 5- 7- -3  3  7  8
Curve Equation t 31605y1 [0,1,1,-11580,-490066] 1
31605z (2 curves)	1	3- 5- 7- 43-	1 3- 5- 7-  4  0 -4  0
Curve Equation t Generators 31605z1 [1,0,1,-68,-619] 2 [27:118:1] 31605z2 [1,0,1,-1573,-24097] 2 [-23:17:1]
31605ba (4 curves)	1	3- 5- 7- 43-	1 3- 5- 7-  4 -6  2  0
Curve Equation t Generators 31605ba1 [1,0,1,72,-2159] 2 [347:6294:1] 31605ba2 [1,0,1,-2133,-36557] 4 [22292:401157:64] 31605ba3 [1,0,1,-5808,122203] 2 [7311:112216:27] 31605ba4 [1,0,1,-33738,-2387969] 2 [79858860:1250726891:216000]
31605bb (4 curves)	1	3- 5- 7- 43-	-1 3- 5- 7- -4 -6  6 -4
Curve Equation t Generators 31605bb1 [1,0,0,9995,6043400] 4 [-115:1895:1] 31605bb2 [1,0,0,-443010,109962747] 4 [-591:13158:1] 31605bb3 [1,0,0,-1106715,-297153900] 2 [-720:11610:1] 31605bb4 [1,0,0,-7027385,7169729622] 2 [1579:-4097:1]
31605bc (1 curve)	1	3- 5- 7- 43-	2 3- 5- 7-  2 -3  0 -4
Curve Equation t Generators 31605bc1 [0,1,1,-1780,-31181] 1 [394:437:8]

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