Show commands:
SageMath
E = EllipticCurve("bg1")
E.isogeny_class()
Elliptic curves in class 320892.bg
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
320892.bg1 | 320892bg1 | \([0, 1, 0, -136286, -24852423]\) | \(-1195060552094464/443271489687\) | \(-103839006088117872\) | \([]\) | \(4406400\) | \(1.9753\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 320892.bg1 has rank \(1\).
Complex multiplication
The elliptic curves in class 320892.bg do not have complex multiplication.Modular form 320892.2.a.bg
sage: E.q_eigenform(10)