Show commands:
SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 1617.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1617.a1 | 1617c1 | \([0, -1, 1, 572, 18906]\) | \(3584000/29403\) | \(-169502443803\) | \([]\) | \(2520\) | \(0.83608\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1617.a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 1617.a do not have complex multiplication.Modular form 1617.2.a.a
sage: E.q_eigenform(10)