Properties

Label 19950df
Number of curves $1$
Conductor $19950$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("df1")
 
E.isogeny_class()
 

Elliptic curves in class 19950df

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
19950.cs1 19950df1 \([1, 0, 0, 4362, 521892]\) \(23497109375/314399232\) \(-122812200000000\) \([]\) \(86400\) \(1.3842\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 19950df1 has rank \(1\).

Complex multiplication

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

Modular form 19950.2.a.df

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