Properties

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

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Show commands: SageMath
sage: E = EllipticCurve("j1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 19950.j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
19950.j1 19950m1 \([1, 1, 0, 175, 4245]\) \(23497109375/314399232\) \(-7859980800\) \([]\) \(17280\) \(0.57952\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 19950.j1 has rank \(1\).

Complex multiplication

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

Modular form 19950.2.a.j

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} + q^{6} + q^{7} - q^{8} + q^{9} - 2q^{11} - q^{12} + 5q^{13} - q^{14} + q^{16} - q^{17} - q^{18} + q^{19} + O(q^{20})\)  Toggle raw display