Properties

Label 185130ev
Number of curves 1
Conductor 185130
CM no
Rank 1

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Show commands for: SageMath
sage: E = EllipticCurve("185130.by1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 185130ev

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
185130.by1 185130ev1 [1, -1, 0, -123624, -29738032] [] 2304000 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 185130ev1 has rank \(1\).

Modular form 185130.2.a.by

sage: E.q_eigenform(10)
 
\( q - q^{2} + q^{4} + q^{5} - q^{7} - q^{8} - q^{10} - q^{13} + q^{14} + q^{16} - q^{17} + 7q^{19} + O(q^{20}) \)