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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 425880w
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 425880.w1 | 425880w1 | \([0, 0, 0, -16068, -11540828]\) | \(-14546381824/1815912315\) | \(-57272886558800640\) | \([]\) | \(2764800\) | \(1.8950\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 425880w1 has rank \(0\).
Complex multiplication
The elliptic curves in class 425880w do not have complex multiplication.Modular form 425880.2.a.w
sage: E.q_eigenform(10)