Show commands:
SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 69360.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
69360.h1 | 69360m1 | \([0, -1, 0, -111361, -12719939]\) | \(85525504/10125\) | \(18081163287072000\) | \([]\) | \(470016\) | \(1.8507\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 69360.h1 has rank \(0\).
Complex multiplication
The elliptic curves in class 69360.h do not have complex multiplication.Modular form 69360.2.a.h
sage: E.q_eigenform(10)