Properties

Label 166410.bc
Number of curves $1$
Conductor $166410$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("bc1")
 
E.isogeny_class()
 

Elliptic curves in class 166410.bc

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
166410.bc1 166410br1 \([1, -1, 0, -24, 260]\) \(-1161/20\) \(-26958420\) \([]\) \(47040\) \(0.10699\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 166410.bc1 has rank \(0\).

Complex multiplication

The elliptic curves in class 166410.bc do not have complex multiplication.

Modular form 166410.2.a.bc

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} + q^{5} - q^{8} - q^{10} + 6 q^{11} + q^{16} + 4 q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display