Properties

Label 162624t
Number of curves $1$
Conductor $162624$
CM no
Rank $0$

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

Elliptic curves in class 162624t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
162624.gi1 162624t1 \([0, 1, 0, -1701, -19197]\) \(274717696/83349\) \(165236391936\) \([]\) \(184320\) \(0.85758\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 162624t1 has rank \(0\).

Complex multiplication

The elliptic curves in class 162624t do not have complex multiplication.

Modular form 162624.2.a.t

sage: E.q_eigenform(10)
 
\(q + q^{3} - q^{5} - q^{7} + q^{9} + 6 q^{13} - q^{15} + 3 q^{17} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display