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SageMath
E = EllipticCurve("bk1")
E.isogeny_class()
Elliptic curves in class 19110bk
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
19110.bk1 | 19110bk1 | \([1, 0, 1, -6648, -1282172]\) | \(-662989657192009/14097531093750\) | \(-690779023593750\) | \([]\) | \(134400\) | \(1.5283\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 19110bk1 has rank \(1\).
Complex multiplication
The elliptic curves in class 19110bk do not have complex multiplication.Modular form 19110.2.a.bk
sage: E.q_eigenform(10)