Show commands:
SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 102550.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
102550.h1 | 102550q1 | \([1, 1, 0, -105, 325]\) | \(1039509197/131264\) | \(16408000\) | \([]\) | \(20736\) | \(0.11373\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 102550.h1 has rank \(2\).
Complex multiplication
The elliptic curves in class 102550.h do not have complex multiplication.Modular form 102550.2.a.h
sage: E.q_eigenform(10)