Show commands:
SageMath
E = EllipticCurve("bd1")
E.isogeny_class()
Elliptic curves in class 147294.bd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
147294.bd1 | 147294cv1 | \([1, -1, 0, -11328, -119008]\) | \(69426531/37408\) | \(86625154467936\) | \([]\) | \(506880\) | \(1.3655\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 147294.bd1 has rank \(0\).
Complex multiplication
The elliptic curves in class 147294.bd do not have complex multiplication.Modular form 147294.2.a.bd
sage: E.q_eigenform(10)