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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 118354.v
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
118354.v1 | 118354v1 | \([1, -1, 1, -108564, -14188937]\) | \(-3354790473/128384\) | \(-5415305630966144\) | \([]\) | \(1559040\) | \(1.7887\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 118354.v1 has rank \(0\).
Complex multiplication
The elliptic curves in class 118354.v do not have complex multiplication.Modular form 118354.2.a.v
sage: E.q_eigenform(10)