Show commands:
SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 94192.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
94192.h1 | 94192ba1 | \([0, -1, 0, -260149, 51744425]\) | \(-524288/7\) | \(-25996805588757248\) | \([]\) | \(545664\) | \(1.9574\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 94192.h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 94192.h do not have complex multiplication.Modular form 94192.2.a.h
sage: E.q_eigenform(10)