Properties

Label 41070q
Number of curves $1$
Conductor $41070$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("q1")
 
E.isogeny_class()
 

Elliptic curves in class 41070q

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
41070.n1 41070q1 \([1, 0, 1, 1607177, -1484902222]\) \(3532642667/9375000\) \(-1218391310578846875000\) \([]\) \(2301696\) \(2.7296\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 41070q1 has rank \(0\).

Complex multiplication

The elliptic curves in class 41070q do not have complex multiplication.

Modular form 41070.2.a.q

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{3} + q^{4} + q^{5} - q^{6} - q^{7} - q^{8} + q^{9} - q^{10} + q^{11} + q^{12} - q^{13} + q^{14} + q^{15} + q^{16} - 5 q^{17} - q^{18} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display