Properties

Label 257600bv
Number of curves $1$
Conductor $257600$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("bv1")
 
E.isogeny_class()
 

Elliptic curves in class 257600bv

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
257600.bv1 257600bv1 \([0, -1, 0, -2833, -57463]\) \(-157216000/1127\) \(-18032000000\) \([]\) \(221184\) \(0.80038\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 257600bv1 has rank \(0\).

Complex multiplication

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

Modular form 257600.2.a.bv

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{7} - 2 q^{9} - 6 q^{11} - 3 q^{13} + O(q^{20})\) Copy content Toggle raw display