Properties

Label 151321.a
Number of curves $1$
Conductor $151321$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("a1")
 
E.isogeny_class()
 

Elliptic curves in class 151321.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
151321.a1 151321a1 \([0, -1, 1, -353082, 58436527]\) \(1404928/389\) \(1347867523649523629\) \([]\) \(6052800\) \(2.1861\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 151321.a1 has rank \(1\).

Complex multiplication

The elliptic curves in class 151321.a do not have complex multiplication.

Modular form 151321.2.a.a

sage: E.q_eigenform(10)
 
\(q + 2 q^{2} + 2 q^{3} + 2 q^{4} - 3 q^{5} + 4 q^{6} - 5 q^{7} + q^{9} - 6 q^{10} - 4 q^{11} + 4 q^{12} - 3 q^{13} - 10 q^{14} - 6 q^{15} - 4 q^{16} - 6 q^{17} + 2 q^{18} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display