Properties

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

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Show commands: SageMath
E = EllipticCurve("t1")
 
E.isogeny_class()
 

Elliptic curves in class 161700.t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
161700.t1 161700eb1 \([0, -1, 0, 30818142, 32889132837]\) \(110056273881297152/79587574568271\) \(-2340849640095628719750000\) \([]\) \(21772800\) \(3.3644\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 161700.t1 has rank \(1\).

Complex multiplication

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

Modular form 161700.2.a.t

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