Show commands:
SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 13520.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
13520.a1 | 13520f1 | \([0, 1, 0, -56, 820]\) | \(-338/5\) | \(-292464640\) | \([]\) | \(5760\) | \(0.30592\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 13520.a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 13520.a do not have complex multiplication.Modular form 13520.2.a.a
sage: E.q_eigenform(10)