Show commands:
SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 177450.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
177450.h1 | 177450ic1 | \([1, 1, 0, -146695, -54342725]\) | \(-3423871373/10501974\) | \(-1070847852867906750\) | \([]\) | \(2935296\) | \(2.1463\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 177450.h1 has rank \(0\).
Complex multiplication
The elliptic curves in class 177450.h do not have complex multiplication.Modular form 177450.2.a.h
sage: E.q_eigenform(10)