Properties

Label 409101c
Number of curves $1$
Conductor $409101$
CM no
Rank $2$

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Show commands for: SageMath
sage: E = EllipticCurve("409101.c1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 409101c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
409101.c1 409101c1 [0, -1, 1, 2156180, -102986346] [] 27648000 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 409101c1 has rank \(2\).

Modular form 409101.2.a.c

sage: E.q_eigenform(10)
 
\( q - 2q^{2} - q^{3} + 2q^{4} + q^{5} + 2q^{6} + q^{9} - 2q^{10} - 2q^{12} + 6q^{13} - q^{15} - 4q^{16} - 2q^{17} - 2q^{18} + 2q^{19} + O(q^{20}) \)