Properties

Label 3850.p
Number of curves $1$
Conductor $3850$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("p1")
 
E.isogeny_class()
 

Elliptic curves in class 3850.p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
3850.p1 3850z1 \([1, 1, 1, 112, -219]\) \(397535/308\) \(-120312500\) \([]\) \(1440\) \(0.23851\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 3850.p1 has rank \(0\).

Complex multiplication

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

Modular form 3850.2.a.p

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{3} + q^{4} - q^{6} + q^{7} + q^{8} - 2 q^{9} - q^{11} - q^{12} - 2 q^{13} + q^{14} + q^{16} - 7 q^{17} - 2 q^{18} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display