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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 39984.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
39984.h1 | 39984co1 | \([0, -1, 0, -6512, -31296]\) | \(152186997697/85660416\) | \(17192388132864\) | \([]\) | \(82944\) | \(1.2297\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 39984.h1 has rank \(0\).
Complex multiplication
The elliptic curves in class 39984.h do not have complex multiplication.Modular form 39984.2.a.h
sage: E.q_eigenform(10)