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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 954j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
954.g1 | 954j1 | \([1, -1, 1, 1273, -3585]\) | \(313185171671/187564032\) | \(-136734179328\) | \([]\) | \(1632\) | \(0.82607\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 954j1 has rank \(1\).
Complex multiplication
The elliptic curves in class 954j do not have complex multiplication.Modular form 954.2.a.j
sage: E.q_eigenform(10)