Properties

Label 141512y
Number of curves $1$
Conductor $141512$
CM no
Rank $1$

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

Elliptic curves in class 141512y

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
141512.c1 141512y1 \([0, 1, 0, -3369, -178949]\) \(-7168/19\) \(-11212727094016\) \([]\) \(207360\) \(1.1915\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 141512y1 has rank \(1\).

Complex multiplication

The elliptic curves in class 141512y do not have complex multiplication.

Modular form 141512.2.a.y

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