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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 86394.v
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
86394.v1 | 86394bc1 | \([1, 0, 1, 478915, -138589288]\) | \(6857159064725087/8654638519296\) | \(-15332220069882541056\) | \([]\) | \(2304000\) | \(2.3674\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 86394.v1 has rank \(0\).
Complex multiplication
The elliptic curves in class 86394.v do not have complex multiplication.Modular form 86394.2.a.v
sage: E.q_eigenform(10)