Properties

Label 10320.s
Number of curves $1$
Conductor $10320$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("s1")
 
E.isogeny_class()
 

Elliptic curves in class 10320.s

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
10320.s1 10320ba1 \([0, -1, 0, 155, -2675]\) \(99897344/783675\) \(-3209932800\) \([]\) \(7680\) \(0.50559\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 10320.s1 has rank \(0\).

Complex multiplication

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

Modular form 10320.2.a.s

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{5} + 4 q^{7} + q^{9} + 3 q^{11} + 5 q^{13} - q^{15} - 7 q^{17} + O(q^{20})\) Copy content Toggle raw display