Properties

Label 161700.e
Number of curves $1$
Conductor $161700$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("e1")
 
E.isogeny_class()
 

Elliptic curves in class 161700.e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
161700.e1 161700dv1 \([0, -1, 0, -1280533, 5115045937]\) \(-205520896/9882675\) \(-11166444325644300000000\) \([]\) \(8709120\) \(2.9106\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 161700.e1 has rank \(1\).

Complex multiplication

The elliptic curves in class 161700.e do not have complex multiplication.

Modular form 161700.2.a.e

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{9} - q^{11} - 5 q^{13} + 2 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display