Properties

Label 286110bs
Number of curves $1$
Conductor $286110$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bs1")
 
E.isogeny_class()
 

Elliptic curves in class 286110bs

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
286110.bs1 286110bs1 \([1, -1, 0, 12951, 715135]\) \(13651919/20570\) \(-361955640066570\) \([]\) \(1105920\) \(1.4789\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 286110bs1 has rank \(1\).

Complex multiplication

The elliptic curves in class 286110bs do not have complex multiplication.

Modular form 286110.2.a.bs

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} + q^{5} - 4 q^{7} - q^{8} - q^{10} - q^{11} - q^{13} + 4 q^{14} + q^{16} + 3 q^{19} + O(q^{20})\) Copy content Toggle raw display