Properties

Label 343850.bj
Number of curves $1$
Conductor $343850$
CM no
Rank $1$

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

Elliptic curves in class 343850.bj

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
343850.bj1 343850bj1 \([1, 0, 1, 158424, -267944202]\) \(304175/21632\) \(-31272581551250000000\) \([]\) \(10644480\) \(2.4203\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 343850.bj1 has rank \(1\).

Complex multiplication

The elliptic curves in class 343850.bj do not have complex multiplication.

Modular form 343850.2.a.bj

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{3} + q^{4} - q^{6} - 4 q^{7} - q^{8} - 2 q^{9} - q^{11} + q^{12} + q^{13} + 4 q^{14} + q^{16} - 7 q^{17} + 2 q^{18} + 3 q^{19} + O(q^{20})\) Copy content Toggle raw display