Properties

Label 15246x
Number of curves $1$
Conductor $15246$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("x1")
 
E.isogeny_class()
 

Elliptic curves in class 15246x

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
15246.v1 15246x1 \([1, -1, 0, -925128, 343174288]\) \(-4631003113/7056\) \(-133417547160814224\) \([]\) \(337920\) \(2.1859\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 15246x1 has rank \(0\).

Complex multiplication

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

Modular form 15246.2.a.x

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} + 3 q^{5} + q^{7} - q^{8} - 3 q^{10} + 5 q^{13} - q^{14} + q^{16} - q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display