Show commands:
SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 1296.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1296.h1 | 1296a1 | \([0, 0, 0, -27, 378]\) | \(-36\) | \(-60466176\) | \([]\) | \(288\) | \(0.17365\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1296.h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 1296.h do not have complex multiplication.Modular form 1296.2.a.h
sage: E.q_eigenform(10)