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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 95370.w
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 95370.w1 | 95370w1 | \([1, 1, 0, 15314538, -20658776364]\) | \(56943478875945239/59400000000000\) | \(-414359991995400000000000\) | \([]\) | \(17449344\) | \(3.2185\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 95370.w1 has rank \(0\).
Complex multiplication
The elliptic curves in class 95370.w do not have complex multiplication.Modular form 95370.2.a.w
sage: E.q_eigenform(10)