Properties

Label 257600.ev
Number of curves $1$
Conductor $257600$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("ev1")
 
E.isogeny_class()
 

Elliptic curves in class 257600.ev

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
257600.ev1 257600ev1 \([0, 1, 0, -13893, 1564643]\) \(-144814859264/435654247\) \(-892219897856000\) \([]\) \(831488\) \(1.5555\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 257600.ev1 has rank \(1\).

Complex multiplication

The elliptic curves in class 257600.ev do not have complex multiplication.

Modular form 257600.2.a.ev

sage: E.q_eigenform(10)
 
\(q + q^{3} + q^{7} - 2 q^{9} + 3 q^{11} + 3 q^{13} - 3 q^{17} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display