Properties

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

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

Elliptic curves in class 3850.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
3850.g1 3850l1 \([1, -1, 0, -92, 366]\) \(-138630825/1078\) \(-673750\) \([]\) \(672\) \(-0.052504\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 3850.g1 has rank \(1\).

Complex multiplication

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

Modular form 3850.2.a.g

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