Show commands:
SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 63426.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
63426.h1 | 63426g1 | \([1, 1, 0, 957, 17325]\) | \(100699396871/187067232\) | \(-179771609952\) | \([]\) | \(122400\) | \(0.84427\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 63426.h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 63426.h do not have complex multiplication.Modular form 63426.2.a.h
sage: E.q_eigenform(10)