Show commands:
SageMath
E = EllipticCurve("be1")
E.isogeny_class()
Elliptic curves in class 77658be
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
77658.bg1 | 77658be1 | \([1, 0, 0, -9821, 372579]\) | \(1317614126347/4941258\) | \(392864599806\) | \([]\) | \(133056\) | \(1.0842\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 77658be1 has rank \(1\).
Complex multiplication
The elliptic curves in class 77658be do not have complex multiplication.Modular form 77658.2.a.be
sage: E.q_eigenform(10)