Properties

Label 29120t
Number of curves $1$
Conductor $29120$
CM no
Rank $1$

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

Elliptic curves in class 29120t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
29120.bu1 29120t1 \([0, 1, 0, -93665, 11547263]\) \(-693346671296498/40610171875\) \(-5322856448000000\) \([]\) \(199680\) \(1.7736\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 29120t1 has rank \(1\).

Complex multiplication

The elliptic curves in class 29120t do not have complex multiplication.

Modular form 29120.2.a.t

sage: E.q_eigenform(10)
 
\(q + q^{3} + q^{5} - q^{7} - 2 q^{9} - 5 q^{11} + q^{13} + q^{15} - 2 q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display