Show commands:
SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 227850.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
227850.h1 | 227850im1 | \([1, 1, 0, 465, -101835]\) | \(10985/4464\) | \(-4503462541200\) | \([]\) | \(559104\) | \(1.1071\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 227850.h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 227850.h do not have complex multiplication.Modular form 227850.2.a.h
sage: E.q_eigenform(10)