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SageMath
E = EllipticCurve("bk1")
E.isogeny_class()
Elliptic curves in class 309168.bk
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
309168.bk1 | 309168bk1 | \([0, 0, 0, -4152, 104267]\) | \(-678653722624/9912699\) | \(-115621721136\) | \([]\) | \(199680\) | \(0.92708\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 309168.bk1 has rank \(1\).
Complex multiplication
The elliptic curves in class 309168.bk do not have complex multiplication.Modular form 309168.2.a.bk
sage: E.q_eigenform(10)