Show commands:
SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 63175.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
63175.h1 | 63175i1 | \([1, 1, 1, 577412, -198258594]\) | \(28962726911/39916625\) | \(-29342387338619140625\) | \([]\) | \(1036800\) | \(2.4212\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 63175.h1 has rank \(0\).
Complex multiplication
The elliptic curves in class 63175.h do not have complex multiplication.Modular form 63175.2.a.h
sage: E.q_eigenform(10)