Show commands:
SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 64400y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
64400.z1 | 64400y1 | \([0, -1, 0, -86833, -24490963]\) | \(-144814859264/435654247\) | \(-217827123500000000\) | \([]\) | \(519680\) | \(2.0137\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 64400y1 has rank \(1\).
Complex multiplication
The elliptic curves in class 64400y do not have complex multiplication.Modular form 64400.2.a.y
sage: E.q_eigenform(10)