Properties

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

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Show commands: SageMath
E = EllipticCurve("c1")
 
E.isogeny_class()
 

Elliptic curves in class 15246.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
15246.c1 15246m1 \([1, -1, 0, -26703, -27654291]\) \(-13475473/2107392\) \(-329317141201348608\) \([]\) \(139392\) \(2.0407\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 15246.c1 has rank \(1\).

Complex multiplication

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

Modular form 15246.2.a.c

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