Properties

Label 10320u
Number of curves $1$
Conductor $10320$
CM no
Rank $1$

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

Elliptic curves in class 10320u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
10320.o1 10320u1 \([0, -1, 0, -4645, -120743]\) \(-43304636317696/176326875\) \(-45139680000\) \([]\) \(12288\) \(0.90058\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 10320u1 has rank \(1\).

Complex multiplication

The elliptic curves in class 10320u do not have complex multiplication.

Modular form 10320.2.a.u

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