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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 466752.i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
466752.i1 | 466752i1 | \([0, -1, 0, -102209, -12543135]\) | \(-1801836782261572/882453\) | \(-57832439808\) | \([]\) | \(2242560\) | \(1.4000\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 466752.i1 has rank \(1\).
Complex multiplication
The elliptic curves in class 466752.i do not have complex multiplication.Modular form 466752.2.a.i
sage: E.q_eigenform(10)