Properties

Label 58835.g
Number of curves $1$
Conductor $58835$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("g1")
 
E.isogeny_class()
 

Elliptic curves in class 58835.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
58835.g1 58835l1 \([0, 0, 1, 147928, -1912558]\) \(75365351424/43946875\) \(-208752237316196875\) \([]\) \(403200\) \(2.0128\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 58835.g1 has rank \(1\).

Complex multiplication

The elliptic curves in class 58835.g do not have complex multiplication.

Modular form 58835.2.a.g

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