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SageMath
E = EllipticCurve("bk1")
E.isogeny_class()
Elliptic curves in class 18150bk
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
18150.y1 | 18150bk1 | \([1, 0, 1, 2329049, 401008298]\) | \(1182427286584775/743008370688\) | \(-877968875520000000000\) | \([]\) | \(1219680\) | \(2.7077\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 18150bk1 has rank \(1\).
Complex multiplication
The elliptic curves in class 18150bk do not have complex multiplication.Modular form 18150.2.a.bk
sage: E.q_eigenform(10)