Show commands:
SageMath
E = EllipticCurve("be1")
E.isogeny_class()
Elliptic curves in class 311696.be
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
311696.be1 | 311696be1 | \([0, -1, 0, -1336364, 595036972]\) | \(581972233018192/25929211\) | \(11759405815902976\) | \([]\) | \(2995200\) | \(2.1608\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 311696.be1 has rank \(1\).
Complex multiplication
The elliptic curves in class 311696.be do not have complex multiplication.Modular form 311696.2.a.be
sage: E.q_eigenform(10)