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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 33488e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
33488.f1 | 33488e1 | \([0, 1, 0, -317073, 68614891]\) | \(13770918300093568000/31622653517\) | \(8095399300352\) | \([]\) | \(163200\) | \(1.7204\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 33488e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 33488e do not have complex multiplication.Modular form 33488.2.a.e
sage: E.q_eigenform(10)