Properties

Label 18050.m
Number of curves $1$
Conductor $18050$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("m1")
 
E.isogeny_class()
 

Elliptic curves in class 18050.m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
18050.m1 18050v1 \([1, -1, 1, -430380, -115932753]\) \(-11993263569/972800\) \(-715097391200000000\) \([]\) \(760320\) \(2.1722\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 18050.m1 has rank \(1\).

Complex multiplication

The elliptic curves in class 18050.m do not have complex multiplication.

Modular form 18050.2.a.m

sage: E.q_eigenform(10)
 
\(q + q^{2} - 3 q^{3} + q^{4} - 3 q^{6} + 5 q^{7} + q^{8} + 6 q^{9} - 4 q^{11} - 3 q^{12} - q^{13} + 5 q^{14} + q^{16} + 3 q^{17} + 6 q^{18} + O(q^{20})\) Copy content Toggle raw display