Properties

Label 17424.u
Number of curves $1$
Conductor $17424$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("u1")
 
E.isogeny_class()
 

Elliptic curves in class 17424.u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
17424.u1 17424g1 \([0, 0, 0, 132, -484]\) \(1024\) \(-248396544\) \([]\) \(5760\) \(0.29790\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 17424.u1 has rank \(0\).

Complex multiplication

The elliptic curves in class 17424.u do not have complex multiplication.

Modular form 17424.2.a.u

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