Properties

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

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Show commands: SageMath
E = EllipticCurve("er1")
 
E.isogeny_class()
 

Elliptic curves in class 235950er

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
235950.er1 235950er1 \([1, 1, 1, 5987, -302719]\) \(34295/78\) \(-53977249218750\) \([]\) \(1075200\) \(1.3191\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 235950er1 has rank \(1\).

Complex multiplication

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

Modular form 235950.2.a.er

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