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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 299538.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
299538.h1 | 299538h1 | \([1, -1, 0, -402504, -1116244738]\) | \(-27/2\) | \(-534196640560655561526\) | \([]\) | \(14303520\) | \(2.6570\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 299538.h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 299538.h do not have complex multiplication.Modular form 299538.2.a.h
sage: E.q_eigenform(10)