Properties

Label 215950x
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 215950x

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
215950.i1 215950x1 \([1, -1, 0, -32417, -3380009]\) \(-241118029063521/177844110850\) \(-2778814232031250\) \([]\) \(1259520\) \(1.6628\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

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

Complex multiplication

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

Modular form 215950.2.a.x

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{7} - q^{8} - 3 q^{9} + 5 q^{11} - q^{13} + q^{14} + q^{16} - 8 q^{17} + 3 q^{18} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display