Properties

Label 169400.b
Number of curves $1$
Conductor $169400$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("b1")
 
E.isogeny_class()
 

Elliptic curves in class 169400.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
169400.b1 169400bh1 \([0, 1, 0, -3428, 181993]\) \(-6288640/16807\) \(-11909850290800\) \([]\) \(343200\) \(1.1965\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 169400.b1 has rank \(0\).

Complex multiplication

The elliptic curves in class 169400.b do not have complex multiplication.

Modular form 169400.2.a.b

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