Properties

Label 254320t
Number of curves $1$
Conductor $254320$
CM no
Rank $1$

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

Elliptic curves in class 254320t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
254320.t1 254320t1 \([0, -1, 0, -52405, -4721575]\) \(-8912896/275\) \(-491093323846400\) \([]\) \(998784\) \(1.5960\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 254320t1 has rank \(1\).

Complex multiplication

The elliptic curves in class 254320t do not have complex multiplication.

Modular form 254320.2.a.t

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{5} + 2 q^{7} - 2 q^{9} + q^{11} + 2 q^{13} - q^{15} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display