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SageMath
E = EllipticCurve("bk1")
E.isogeny_class()
Elliptic curves in class 92416.bk
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
92416.bk1 | 92416d1 | \([0, 1, 0, -253, 1627]\) | \(-8000\) | \(-224755712\) | \([]\) | \(20480\) | \(0.33682\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 92416.bk1 has rank \(1\).
Complex multiplication
The elliptic curves in class 92416.bk do not have complex multiplication.Modular form 92416.2.a.bk
sage: E.q_eigenform(10)