Properties

Label 161700ea
Number of curves $1$
Conductor $161700$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("ea1")
 
E.isogeny_class()
 

Elliptic curves in class 161700ea

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
161700.s1 161700ea1 \([0, -1, 0, -200573, -33460503]\) \(1185154785280/40920957\) \(30811581888595200\) \([]\) \(1492992\) \(1.9355\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 161700ea1 has rank \(1\).

Complex multiplication

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

Modular form 161700.2.a.ea

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{9} - q^{11} + q^{13} - 7 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display