Show commands:
SageMath
E = EllipticCurve("eh1")
E.isogeny_class()
Elliptic curves in class 53550.eh
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
53550.eh1 | 53550dy1 | \([1, -1, 1, -410, 9497]\) | \(-417267265/1850688\) | \(-33728788800\) | \([]\) | \(34560\) | \(0.70503\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 53550.eh1 has rank \(1\).
Complex multiplication
The elliptic curves in class 53550.eh do not have complex multiplication.Modular form 53550.2.a.eh
sage: E.q_eigenform(10)