Properties

Label 235950.j
Number of curves $1$
Conductor $235950$
CM no
Rank $1$

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

Elliptic curves in class 235950.j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
235950.j1 235950j1 \([1, 1, 0, -152000, 22755000]\) \(-205425117472201/92116440\) \(-174157644375000\) \([]\) \(1520640\) \(1.6907\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 235950.j1 has rank \(1\).

Complex multiplication

The elliptic curves in class 235950.j do not have complex multiplication.

Modular form 235950.2.a.j

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