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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 37440.v
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
37440.v1 | 37440bf1 | \([0, 0, 0, 349872, -52417888]\) | \(396555344454656/328867205355\) | \(-3927968853258977280\) | \([]\) | \(675840\) | \(2.2556\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 37440.v1 has rank \(0\).
Complex multiplication
The elliptic curves in class 37440.v do not have complex multiplication.Modular form 37440.2.a.v
sage: E.q_eigenform(10)