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SageMath
E = EllipticCurve("bk1")
E.isogeny_class()
Elliptic curves in class 116886.bk
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 116886.bk1 | 116886bi1 | \([1, 0, 0, -2274, 44100]\) | \(-977077413467/71221248\) | \(-94795481088\) | \([]\) | \(120960\) | \(0.85562\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 116886.bk1 has rank \(1\).
Complex multiplication
The elliptic curves in class 116886.bk do not have complex multiplication.Modular form 116886.2.a.bk
sage: E.q_eigenform(10)