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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 488072w
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
488072.w1 | 488072w1 | \([0, 1, 0, -25888152, 50690376101]\) | \(1462911232\) | \(1311622639013858704\) | \([]\) | \(19649952\) | \(2.7915\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 488072w1 has rank \(0\).
Complex multiplication
The elliptic curves in class 488072w do not have complex multiplication.Modular form 488072.2.a.w
sage: E.q_eigenform(10)