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SageMath
E = EllipticCurve("bk1")
E.isogeny_class()
Elliptic curves in class 412224.bk
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
412224.bk1 | 412224bk1 | \([0, -1, 0, -2129, 129201]\) | \(-65168050768/397609371\) | \(-6514431934464\) | \([]\) | \(1032192\) | \(1.1424\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 412224.bk1 has rank \(1\).
Complex multiplication
The elliptic curves in class 412224.bk do not have complex multiplication.Modular form 412224.2.a.bk
sage: E.q_eigenform(10)