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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 27930h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
27930.j1 | 27930h1 | \([1, 1, 0, -4908418, 4183715572]\) | \(-38128906520707954899583/1413309943872000\) | \(-484765310748096000\) | \([]\) | \(853632\) | \(2.4806\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 27930h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 27930h do not have complex multiplication.Modular form 27930.2.a.h
sage: E.q_eigenform(10)