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SageMath
E = EllipticCurve("bk1")
E.isogeny_class()
Elliptic curves in class 16560bk
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
16560.p1 | 16560bk1 | \([0, 0, 0, -93, 367]\) | \(-7626496/575\) | \(-6706800\) | \([]\) | \(2880\) | \(0.058254\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 16560bk1 has rank \(1\).
Complex multiplication
The elliptic curves in class 16560bk do not have complex multiplication.Modular form 16560.2.a.bk
sage: E.q_eigenform(10)