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SageMath
E = EllipticCurve("bk1")
E.isogeny_class()
Elliptic curves in class 188760bk
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
188760.t1 | 188760bk1 | \([0, -1, 0, 1544, 10705]\) | \(210125586176/149689215\) | \(-289798320240\) | \([]\) | \(194304\) | \(0.88780\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 188760bk1 has rank \(1\).
Complex multiplication
The elliptic curves in class 188760bk do not have complex multiplication.Modular form 188760.2.a.bk
sage: E.q_eigenform(10)