Properties

Label 10320.g
Number of curves $1$
Conductor $10320$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("g1")
 
E.isogeny_class()
 

Elliptic curves in class 10320.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
10320.g1 10320b1 \([0, -1, 0, -721, 49645]\) \(-162140591104/4025041875\) \(-1030410720000\) \([]\) \(12288\) \(0.98573\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 10320.g1 has rank \(1\).

Complex multiplication

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

Modular form 10320.2.a.g

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