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SageMath
E = EllipticCurve("bk1")
E.isogeny_class()
Elliptic curves in class 189618bk
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
189618.c1 | 189618bk1 | \([1, 1, 0, 38022, 2136906]\) | \(1259362112399/1131450606\) | \(-5461295968096254\) | \([]\) | \(1225728\) | \(1.7071\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 189618bk1 has rank \(1\).
Complex multiplication
The elliptic curves in class 189618bk do not have complex multiplication.Modular form 189618.2.a.bk
sage: E.q_eigenform(10)