Properties

Label 19950.n
Number of curves $1$
Conductor $19950$
CM no
Rank $1$

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

Elliptic curves in class 19950.n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
19950.n1 19950l1 \([1, 1, 0, 2100, -3000]\) \(65499561791/38319960\) \(-598749375000\) \([]\) \(28800\) \(0.94925\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 19950.n1 has rank \(1\).

Complex multiplication

The elliptic curves in class 19950.n do not have complex multiplication.

Modular form 19950.2.a.n

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} + q^{6} + q^{7} - q^{8} + q^{9} + q^{11} - q^{12} - q^{13} - q^{14} + q^{16} - 4 q^{17} - q^{18} + q^{19} + O(q^{20})\) Copy content Toggle raw display