Properties

Label 157170bj
Number of curves $1$
Conductor $157170$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bj1")
 
E.isogeny_class()
 

Elliptic curves in class 157170bj

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
157170.ch1 157170bj1 \([1, 1, 1, -34395, -2787543]\) \(-932288503609/148800000\) \(-718229179200000\) \([]\) \(829440\) \(1.5787\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 157170bj1 has rank \(1\).

Complex multiplication

The elliptic curves in class 157170bj do not have complex multiplication.

Modular form 157170.2.a.bj

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{3} + q^{4} + q^{5} - q^{6} + 3 q^{7} + q^{8} + q^{9} + q^{10} - 3 q^{11} - q^{12} + 3 q^{14} - q^{15} + q^{16} - 4 q^{17} + q^{18} + 3 q^{19} + O(q^{20})\) Copy content Toggle raw display