Show commands:
SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 4026.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
4026.h1 | 4026g1 | \([1, 1, 1, 114746, 3624899]\) | \(167084491388439286943/102220096386760704\) | \(-102220096386760704\) | \([]\) | \(51680\) | \(1.9530\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 4026.h1 has rank \(0\).
Complex multiplication
The elliptic curves in class 4026.h do not have complex multiplication.Modular form 4026.2.a.h
sage: E.q_eigenform(10)