Show commands:
SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 11774h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
11774.l1 | 11774h1 | \([1, 0, 0, -32, 128]\) | \(-4317433/6272\) | \(-5274752\) | \([]\) | \(1680\) | \(-0.018144\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 11774h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 11774h do not have complex multiplication.Modular form 11774.2.a.h
sage: E.q_eigenform(10)