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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 43350j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
43350.g1 | 43350j1 | \([1, 1, 0, -65, 135]\) | \(253265/54\) | \(6632550\) | \([]\) | \(9216\) | \(0.023319\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 43350j1 has rank \(1\).
Complex multiplication
The elliptic curves in class 43350j do not have complex multiplication.Modular form 43350.2.a.j
sage: E.q_eigenform(10)