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SageMath
E = EllipticCurve("bk1")
E.isogeny_class()
Elliptic curves in class 36414bk
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
36414.i1 | 36414bk1 | \([1, -1, 0, 736029, -291654027]\) | \(30004847/42336\) | \(-62219506853899061856\) | \([]\) | \(1175040\) | \(2.4837\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 36414bk1 has rank \(1\).
Complex multiplication
The elliptic curves in class 36414bk do not have complex multiplication.Modular form 36414.2.a.bk
sage: E.q_eigenform(10)