Properties

Label 18810f
Number of curves $1$
Conductor $18810$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("f1")
 
E.isogeny_class()
 

Elliptic curves in class 18810f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
18810.a1 18810f1 \([1, -1, 0, -30105, -2030675]\) \(-4139236042638481/66395120000\) \(-48402042480000\) \([]\) \(80640\) \(1.4266\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 18810f1 has rank \(1\).

Complex multiplication

The elliptic curves in class 18810f do not have complex multiplication.

Modular form 18810.2.a.f

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