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SageMath
E = EllipticCurve("of1")
E.isogeny_class()
Elliptic curves in class 352800of
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 352800.of1 | 352800of1 | \([0, 0, 0, -3675, 6039250]\) | \(-392/1125\) | \(-15752961000000000\) | \([]\) | \(2433024\) | \(1.7869\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 352800of1 has rank \(0\).
Complex multiplication
The elliptic curves in class 352800of do not have complex multiplication.Modular form 352800.2.a.of
sage: E.q_eigenform(10)