Show commands:
SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 392.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
392.e1 | 392b1 | \([0, 1, 0, -800, -8359]\) | \(12544\) | \(4519603984\) | \([]\) | \(168\) | \(0.59608\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 392.e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 392.e do not have complex multiplication.Modular form 392.2.a.e
sage: E.q_eigenform(10)