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SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 22386.bb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
22386.bb1 | 22386y1 | \([1, 0, 0, -2765, 55713]\) | \(2337862343841361/913886064\) | \(913886064\) | \([]\) | \(16128\) | \(0.68427\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 22386.bb1 has rank \(1\).
Complex multiplication
The elliptic curves in class 22386.bb do not have complex multiplication.Modular form 22386.2.a.bb
sage: E.q_eigenform(10)