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SageMath
E = EllipticCurve("bk1")
E.isogeny_class()
Elliptic curves in class 200400bk
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
200400.n1 | 200400bk1 | \([0, -1, 0, -1934658, -989250813]\) | \(3203292069784493824/160501025390625\) | \(40125256347656250000\) | \([]\) | \(5474304\) | \(2.5202\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 200400bk1 has rank \(0\).
Complex multiplication
The elliptic curves in class 200400bk do not have complex multiplication.Modular form 200400.2.a.bk
sage: E.q_eigenform(10)