Properties

Label 3800g
Number of curves $1$
Conductor $3800$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("g1")
 
E.isogeny_class()
 

Elliptic curves in class 3800g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
3800.d1 3800g1 \([0, -1, 0, -208, -1588]\) \(-31250/19\) \(-608000000\) \([]\) \(1152\) \(0.38754\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 3800g1 has rank \(1\).

Complex multiplication

The elliptic curves in class 3800g do not have complex multiplication.

Modular form 3800.2.a.g

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