Show commands:
SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 160113.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
160113.a1 | 160113a1 | \([0, 1, 1, 49626, 2573642]\) | \(217088/171\) | \(-10646407060342731\) | \([]\) | \(1648512\) | \(1.7633\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 160113.a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 160113.a do not have complex multiplication.Modular form 160113.2.a.a
sage: E.q_eigenform(10)