Properties

Label 18480.a
Number of curves $1$
Conductor $18480$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("a1")
 
E.isogeny_class()
 

Elliptic curves in class 18480.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
18480.a1 18480b1 \([0, -1, 0, -6161, 282525]\) \(-101043379262464/74271536955\) \(-19013513460480\) \([]\) \(49920\) \(1.2475\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 18480.a1 has rank \(1\).

Complex multiplication

The elliptic curves in class 18480.a do not have complex multiplication.

Modular form 18480.2.a.a

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