Properties

Label 71058.c
Number of curves $1$
Conductor $71058$
CM no
Rank $0$

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

Elliptic curves in class 71058.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
71058.c1 71058a1 \([1, 1, 0, -16361, -812283]\) \(484389500773181977/47150678016\) \(47150678016\) \([]\) \(185920\) \(1.0837\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 71058.c1 has rank \(0\).

Complex multiplication

The elliptic curves in class 71058.c do not have complex multiplication.

Modular form 71058.2.a.c

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