Properties

Label 4018.m
Number of curves $1$
Conductor $4018$
CM no
Rank $1$

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

Elliptic curves in class 4018.m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
4018.m1 4018o1 \([1, 1, 1, -22, 27]\) \(3442951/328\) \(112504\) \([]\) \(576\) \(-0.29293\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 4018.m1 has rank \(1\).

Complex multiplication

The elliptic curves in class 4018.m do not have complex multiplication.

Modular form 4018.2.a.m

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{3} + q^{4} - 3 q^{5} - q^{6} + q^{8} - 2 q^{9} - 3 q^{10} + 4 q^{11} - q^{12} + 2 q^{13} + 3 q^{15} + q^{16} - 7 q^{17} - 2 q^{18} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display