Properties

Label 310464nq
Number of curves $1$
Conductor $310464$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("nq1")
 
E.isogeny_class()
 

Elliptic curves in class 310464nq

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
310464.nq1 310464nq1 \([0, 0, 0, -765736524, -8157942738288]\) \(-34068278205171/10307264\) \(-15022942823461329485955072\) \([]\) \(81285120\) \(3.8086\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 310464nq1 has rank \(1\).

Complex multiplication

The elliptic curves in class 310464nq do not have complex multiplication.

Modular form 310464.2.a.nq

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