Show commands:
SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 132878e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
132878.m1 | 132878e1 | \([1, 0, 0, -2961, 58157]\) | \(4826809/316\) | \(187964169436\) | \([]\) | \(198016\) | \(0.91308\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 132878e1 has rank \(1\).
Complex multiplication
The elliptic curves in class 132878e do not have complex multiplication.Modular form 132878.2.a.e
sage: E.q_eigenform(10)