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SageMath
E = EllipticCurve("ib1")
E.isogeny_class()
Elliptic curves in class 206400ib
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
206400.p1 | 206400ib1 | \([0, -1, 0, -33, -2463]\) | \(-200/129\) | \(-2641920000\) | \([]\) | \(96768\) | \(0.48696\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 206400ib1 has rank \(1\).
Complex multiplication
The elliptic curves in class 206400ib do not have complex multiplication.Modular form 206400.2.a.ib
sage: E.q_eigenform(10)