Properties

Label 369600.n
Number of curves $1$
Conductor $369600$
CM no
Rank $1$

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

Elliptic curves in class 369600.n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
369600.n1 369600n1 \([0, -1, 0, -207143333, 1144170767037]\) \(153587764760452480000/526418089637517\) \(3369075773680108800000000\) \([]\) \(94003200\) \(3.5698\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 369600.n1 has rank \(1\).

Complex multiplication

The elliptic curves in class 369600.n do not have complex multiplication.

Modular form 369600.2.a.n

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