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SageMath
E = EllipticCurve("bk1")
E.isogeny_class()
Elliptic curves in class 166410bk
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
166410.p1 | 166410bk1 | \([1, -1, 0, -1314, 18148]\) | \(186222121/6000\) | \(8087526000\) | \([]\) | \(161280\) | \(0.67516\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 166410bk1 has rank \(2\).
Complex multiplication
The elliptic curves in class 166410bk do not have complex multiplication.Modular form 166410.2.a.bk
sage: E.q_eigenform(10)