Properties

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

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Show commands: SageMath
E = EllipticCurve("g1")
 
E.isogeny_class()
 

Elliptic curves in class 257600.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
257600.g1 257600g1 \([0, 0, 0, 2442500, -37215701000]\) \(100718081964000000/37453512751940327\) \(-599256204031045232000000\) \([]\) \(56401920\) \(3.2416\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 257600.g1 has rank \(0\).

Complex multiplication

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

Modular form 257600.2.a.g

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