Properties

Label 215950.x
Number of curves $1$
Conductor $215950$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("x1")
 
E.isogeny_class()
 

Elliptic curves in class 215950.x

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
215950.x1 215950h1 \([1, 0, 0, -16013, -992983]\) \(-232494925949/82959352\) \(-162029984375000\) \([]\) \(684000\) \(1.4374\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 215950.x1 has rank \(0\).

Complex multiplication

The elliptic curves in class 215950.x do not have complex multiplication.

Modular form 215950.2.a.x

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