Show commands:
SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 2475.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
2475.h1 | 2475e1 | \([1, -1, 0, -42, -559]\) | \(-675/11\) | \(-135320625\) | \([]\) | \(576\) | \(0.24153\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 2475.h1 has rank \(0\).
Complex multiplication
The elliptic curves in class 2475.h do not have complex multiplication.Modular form 2475.2.a.h
sage: E.q_eigenform(10)