Show commands:
SageMath
E = EllipticCurve("bd1")
E.isogeny_class()
Elliptic curves in class 380926.bd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
380926.bd1 | 380926bd1 | \([1, -1, 0, -22654228, 41319934592]\) | \(1617907473/8464\) | \(6726567395411554062736\) | \([]\) | \(81768960\) | \(3.0336\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 380926.bd1 has rank \(1\).
Complex multiplication
The elliptic curves in class 380926.bd do not have complex multiplication.Modular form 380926.2.a.bd
sage: E.q_eigenform(10)