Properties

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

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Show commands: SageMath
E = EllipticCurve("t1")
 
E.isogeny_class()
 

Elliptic curves in class 15246t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
15246.d1 15246t1 \([1, -1, 0, 488592, -324467456]\) \(146234339790153527/599838494072832\) \(-52911153723670437888\) \([]\) \(524160\) \(2.4672\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 15246t1 has rank \(0\).

Complex multiplication

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

Modular form 15246.2.a.t

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