Properties

Label 1850.i
Number of curves $1$
Conductor $1850$
CM no
Rank $1$

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Show commands: SageMath
sage: E = EllipticCurve("i1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 1850.i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
1850.i1 1850l1 \([1, 0, 0, 312, -3008]\) \(214921799/378880\) \(-5920000000\) \([]\) \(1056\) \(0.55999\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 1850.i1 has rank \(1\).

Complex multiplication

The elliptic curves in class 1850.i do not have complex multiplication.

Modular form 1850.2.a.i

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