Properties

Label 409101bc
Number of curves $1$
Conductor $409101$
CM no
Rank $0$

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Show commands for: SageMath
sage: E = EllipticCurve("409101.bc1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 409101bc

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
409101.bc1 409101bc1 [0, 1, 1, -99381, -12235723] [] 1554432 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 409101bc1 has rank \(0\).

Modular form 409101.2.a.bc

sage: E.q_eigenform(10)
 
\( q + q^{3} - 2q^{4} - q^{5} + q^{9} - 2q^{12} + 2q^{13} - q^{15} + 4q^{16} + 6q^{17} + 2q^{19} + O(q^{20}) \)