Properties

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

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Show commands: SageMath
E = EllipticCurve("n1")
 
E.isogeny_class()
 

Elliptic curves in class 10320.n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
10320.n1 10320t1 \([0, -1, 0, 275, 625]\) \(8951619584/6046875\) \(-1548000000\) \([]\) \(4608\) \(0.45204\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 10320.n1 has rank \(1\).

Complex multiplication

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

Modular form 10320.2.a.n

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{5} + q^{9} + 5 q^{11} - 3 q^{13} - q^{15} - 3 q^{17} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display