Properties

Label 58667.c
Number of curves $1$
Conductor $58667$
CM no
Rank $1$

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

Elliptic curves in class 58667.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
58667.c1 58667a1 \([1, 0, 0, -6, -8911]\) \(-1/1421\) \(-34299485549\) \([]\) \(39424\) \(0.70042\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 58667.c1 has rank \(1\).

Complex multiplication

The elliptic curves in class 58667.c do not have complex multiplication.

Modular form 58667.2.a.c

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