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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 465690e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
465690.e1 | 465690e1 | \([1, 1, 0, -47298, -4518648]\) | \(-689029129/116100\) | \(-1971791669060100\) | \([]\) | \(3020544\) | \(1.6616\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 465690e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 465690e do not have complex multiplication.Modular form 465690.2.a.e
sage: E.q_eigenform(10)