Properties

Label 300560.n
Number of curves $1$
Conductor $300560$
CM no
Rank $1$

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

Elliptic curves in class 300560.n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
300560.n1 300560n1 \([0, -1, 0, -5294576, -4703480384]\) \(-574468255729/2284880\) \(-65285196438700359680\) \([]\) \(7990272\) \(2.6593\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 300560.n1 has rank \(1\).

Complex multiplication

The elliptic curves in class 300560.n do not have complex multiplication.

Modular form 300560.2.a.n

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