Properties

Label 310464.qu
Number of curves $1$
Conductor $310464$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("qu1")
 
E.isogeny_class()
 

Elliptic curves in class 310464.qu

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
310464.qu1 310464qu1 \([0, 0, 0, -23565276, 44034276888]\) \(-610325920583424/55240493\) \(-130989666080682630144\) \([]\) \(17694720\) \(2.8996\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 310464.qu1 has rank \(1\).

Complex multiplication

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

Modular form 310464.2.a.qu

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