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SageMath
E = EllipticCurve("bk1")
E.isogeny_class()
Elliptic curves in class 104907.bk
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
104907.bk1 | 104907bg1 | \([0, 1, 1, 1060, 2855]\) | \(45056/27\) | \(-78857437923\) | \([]\) | \(177408\) | \(0.78020\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 104907.bk1 has rank \(1\).
Complex multiplication
The elliptic curves in class 104907.bk do not have complex multiplication.Modular form 104907.2.a.bk
sage: E.q_eigenform(10)