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SageMath
sage: E = EllipticCurve("f1")
sage: E.isogeny_class()
Elliptic curves in class 303450.f
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 303450.f1 | 303450f1 | \([1, 1, 0, -117875, -26647875]\) | \(-40112221740049/44471322000\) | \(-200815813406250000\) | \([]\) | \(3483648\) | \(2.0147\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 303450.f1 has rank \(1\).
Complex multiplication
The elliptic curves in class 303450.f do not have complex multiplication.Modular form 303450.2.a.f
sage: E.q_eigenform(10)