Show commands:
SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 3381.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
3381.h1 | 3381j1 | \([0, 1, 1, 327, 22817]\) | \(1605632000/93710763\) | \(-224999541963\) | \([]\) | \(2112\) | \(0.85793\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 3381.h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 3381.h do not have complex multiplication.Modular form 3381.2.a.h
sage: E.q_eigenform(10)