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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 11088h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
11088.bx1 | 11088h1 | \([0, 0, 0, -120231, 16047477]\) | \(-610325920583424/55240493\) | \(-17396777979504\) | \([]\) | \(46080\) | \(1.5801\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 11088h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 11088h do not have complex multiplication.Modular form 11088.2.a.h
sage: E.q_eigenform(10)