Properties

Label 161700cv
Number of curves $1$
Conductor $161700$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("cv1")
 
E.isogeny_class()
 

Elliptic curves in class 161700cv

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
161700.j1 161700cv1 \([0, -1, 0, -23095333, 42904453537]\) \(-67521806336/323433\) \(-6525844086415500000000\) \([]\) \(12902400\) \(3.0351\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 161700cv1 has rank \(0\).

Complex multiplication

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

Modular form 161700.2.a.cv

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{9} - q^{11} - 4 q^{13} + 5 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display