Properties

Label 185150.bv
Number of curves $1$
Conductor $185150$
CM no
Rank $1$

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Show commands for: SageMath
sage: E = EllipticCurve("bv1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 185150.bv

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
185150.bv1 185150k1 \([1, -1, 1, 3541820, -51730359303]\) \(84972077055/20040095362\) \(-1158848958030643288281250\) \([]\) \(21288960\) \(3.2967\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 185150.bv1 has rank \(1\).

Complex multiplication

The elliptic curves in class 185150.bv do not have complex multiplication.

Modular form 185150.2.a.bv

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