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SageMath
E = EllipticCurve("bk1")
E.isogeny_class()
Elliptic curves in class 122694bk
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
122694.be1 | 122694bk1 | \([1, 0, 1, 9798, 13211746]\) | \(1472207/1067742\) | \(-75456591005565198\) | \([]\) | \(1088640\) | \(1.9176\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 122694bk1 has rank \(1\).
Complex multiplication
The elliptic curves in class 122694bk do not have complex multiplication.Modular form 122694.2.a.bk
sage: E.q_eigenform(10)