Properties

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

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Show commands: SageMath
E = EllipticCurve("hn1")
 
E.isogeny_class()
 

Elliptic curves in class 235950hn

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
235950.hn1 235950hn1 \([1, 0, 0, -63, 814617]\) \(-14641/151632000\) \(-286679250000000\) \([]\) \(870912\) \(1.4530\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 235950hn1 has rank \(1\).

Complex multiplication

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

Modular form 235950.2.a.hn

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