Show commands:
SageMath
E = EllipticCurve("bd1")
E.isogeny_class()
Elliptic curves in class 350658bd
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 350658.bd1 | 350658bd1 | \([1, -1, 0, -1364288877, -19427377166631]\) | \(-217449837830486975883625/414553010556986532\) | \(-535381934586866955242393508\) | \([]\) | \(170956800\) | \(4.0184\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 350658bd1 has rank \(0\).
Complex multiplication
The elliptic curves in class 350658bd do not have complex multiplication.Modular form 350658.2.a.bd
sage: E.q_eigenform(10)