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SageMath
E = EllipticCurve("oi1")
E.isogeny_class()
Elliptic curves in class 352800.oi
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 352800.oi1 | 352800oi1 | \([0, 0, 0, -180075, -2071462750]\) | \(-392/1125\) | \(-1853320108689000000000\) | \([]\) | \(17031168\) | \(2.7599\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 352800.oi1 has rank \(1\).
Complex multiplication
The elliptic curves in class 352800.oi do not have complex multiplication.Modular form 352800.2.a.oi
sage: E.q_eigenform(10)