Properties

Label 59248.t
Number of curves $1$
Conductor $59248$
CM no
Rank $2$

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

Elliptic curves in class 59248.t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
59248.t1 59248a1 \([0, 0, 0, 253, -782]\) \(3306204/2401\) \(-1300612096\) \([]\) \(16896\) \(0.43718\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 59248.t1 has rank \(2\).

Complex multiplication

The elliptic curves in class 59248.t do not have complex multiplication.

Modular form 59248.2.a.t

sage: E.q_eigenform(10)
 
\(q + q^{5} - q^{7} - 3 q^{9} - q^{13} - 2 q^{17} - 8 q^{19} + O(q^{20})\) Copy content Toggle raw display