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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 95550.w
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 95550.w1 | 95550r1 | \([1, 1, 0, 1584880, -3308000940]\) | \(149687036429469215/1694528470472292\) | \(-4983989500564867037700\) | \([]\) | \(7838208\) | \(2.8443\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 95550.w1 has rank \(0\).
Complex multiplication
The elliptic curves in class 95550.w do not have complex multiplication.Modular form 95550.2.a.w
sage: E.q_eigenform(10)