Properties

Label 3850.w
Number of curves $1$
Conductor $3850$
CM no
Rank $1$

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

Elliptic curves in class 3850.w

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
3850.w1 3850q1 \([1, -1, 1, 185, 1727]\) \(28151260695/70647808\) \(-1766195200\) \([]\) \(1632\) \(0.45815\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 3850.w1 has rank \(1\).

Complex multiplication

The elliptic curves in class 3850.w do not have complex multiplication.

Modular form 3850.2.a.w

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