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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 346560.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
346560.h1 | 346560h1 | \([0, -1, 0, 5039079, -9845181999]\) | \(2253933824/7971615\) | \(-50047487740600646261760\) | \([]\) | \(25608960\) | \(3.0386\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 346560.h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 346560.h do not have complex multiplication.Modular form 346560.2.a.h
sage: E.q_eigenform(10)