Properties

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

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

Elliptic curves in class 3850g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
3850.c1 3850g1 \([1, -1, 0, 4633, 220541]\) \(28151260695/70647808\) \(-27596800000000\) \([]\) \(8160\) \(1.2629\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 3850g1 has rank \(0\).

Complex multiplication

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

Modular form 3850.2.a.g

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