Properties

Label 12138y
Number of curves $1$
Conductor $12138$
CM no
Rank $1$

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Show commands for: SageMath
sage: E = EllipticCurve("y1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 12138y

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
12138.v1 12138y1 \([1, 0, 0, 1813, 12849]\) \(2280364702703/1560674304\) \(-451034873856\) \([]\) \(24480\) \(0.92486\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 12138y1 has rank \(1\).

Complex multiplication

The elliptic curves in class 12138y do not have complex multiplication.

Modular form 12138.2.a.y

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{3} + q^{4} - 3q^{5} + q^{6} - q^{7} + q^{8} + q^{9} - 3q^{10} - 5q^{11} + q^{12} - q^{14} - 3q^{15} + q^{16} + q^{18} + 6q^{19} + O(q^{20})\)  Toggle raw display