Show commands:
SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 5610.y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
5610.y1 | 5610w1 | \([1, 1, 1, -86, 13223]\) | \(-70393838689/75905555220\) | \(-75905555220\) | \([]\) | \(5600\) | \(0.76674\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 5610.y1 has rank \(0\).
Complex multiplication
The elliptic curves in class 5610.y do not have complex multiplication.Modular form 5610.2.a.y
sage: E.q_eigenform(10)