Properties

Label 235950eh
Number of curves $1$
Conductor $235950$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("eh1")
 
E.isogeny_class()
 

Elliptic curves in class 235950eh

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
235950.eh1 235950eh1 \([1, 0, 1, 239, -2422]\) \(34295/78\) \(-3454543950\) \([]\) \(215040\) \(0.51433\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 235950eh1 has rank \(1\).

Complex multiplication

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

Modular form 235950.2.a.eh

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