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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 213444i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
213444.l1 | 213444i1 | \([0, 0, 0, -241049424, 1440009171524]\) | \(7929856/3\) | \(586000464221111618536704\) | \([]\) | \(39739392\) | \(3.5271\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 213444i1 has rank \(1\).
Complex multiplication
The elliptic curves in class 213444i do not have complex multiplication.Modular form 213444.2.a.i
sage: E.q_eigenform(10)