Properties

Label 69828.n
Number of curves $1$
Conductor $69828$
CM no
Rank $1$

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

Elliptic curves in class 69828.n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
69828.n1 69828d1 \([0, -1, 0, 100, 408]\) \(808496/1089\) \(-147476736\) \([]\) \(20736\) \(0.25320\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 69828.n1 has rank \(1\).

Complex multiplication

The elliptic curves in class 69828.n do not have complex multiplication.

Modular form 69828.2.a.n

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{5} + q^{9} - q^{11} + 7 q^{13} - q^{15} - 6 q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display