Properties

Label 13950.n
Number of curves $1$
Conductor $13950$
CM no
Rank $0$

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

Elliptic curves in class 13950.n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
13950.n1 13950n1 \([1, -1, 0, -2340168417, -45152893312259]\) \(-124427822010671478697670089/5317924709672681472000\) \(-60574486146115387392000000000\) \([]\) \(17487360\) \(4.2889\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 13950.n1 has rank \(0\).

Complex multiplication

The elliptic curves in class 13950.n do not have complex multiplication.

Modular form 13950.2.a.n

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{7} - q^{8} - 5 q^{11} - 2 q^{13} + q^{14} + q^{16} - 4 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display