Properties

Label 134310.bv
Number of curves $1$
Conductor $134310$
CM no
Rank $1$

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

Elliptic curves in class 134310.bv

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
134310.bv1 134310bo1 \([1, 1, 1, 41429, 27787673]\) \(64990673608514951/2790970315280640\) \(-337707408148957440\) \([]\) \(1769472\) \(2.0432\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 134310.bv1 has rank \(1\).

Complex multiplication

The elliptic curves in class 134310.bv do not have complex multiplication.

Modular form 134310.2.a.bv

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