Show commands:
SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 67280h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
67280.e1 | 67280h1 | \([0, 1, 0, -280, -972]\) | \(1414562/625\) | \(1076480000\) | \([]\) | \(26880\) | \(0.42881\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 67280h1 has rank \(2\).
Complex multiplication
The elliptic curves in class 67280h do not have complex multiplication.Modular form 67280.2.a.h
sage: E.q_eigenform(10)