Properties

Label 15246.z
Number of curves $1$
Conductor $15246$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("z1")
 
E.isogeny_class()
 

Elliptic curves in class 15246.z

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
15246.z1 15246ba1 \([1, -1, 1, -24707, -1661525]\) \(-395307/56\) \(-236276647864488\) \([]\) \(95040\) \(1.4891\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 15246.z1 has rank \(1\).

Complex multiplication

The elliptic curves in class 15246.z do not have complex multiplication.

Modular form 15246.2.a.z

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{4} - 4 q^{5} - q^{7} + q^{8} - 4 q^{10} - q^{13} - q^{14} + q^{16} + 2 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display