Properties

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

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Show commands: SageMath
E = EllipticCurve("w1")
 
E.isogeny_class()
 

Elliptic curves in class 215950.w

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
215950.w1 215950f1 \([1, -1, 1, -11730, -647353]\) \(-11422548526761/5081260310\) \(-79394692343750\) \([]\) \(516096\) \(1.3741\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 215950.w1 has rank \(1\).

Complex multiplication

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

Modular form 215950.2.a.w

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{4} + q^{7} + q^{8} - 3 q^{9} - 2 q^{11} - q^{13} + q^{14} + q^{16} + 6 q^{17} - 3 q^{18} - q^{19} + O(q^{20})\) Copy content Toggle raw display