Properties

Label 254320.p
Number of curves $1$
Conductor $254320$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("p1")
 
E.isogeny_class()
 

Elliptic curves in class 254320.p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
254320.p1 254320p1 \([0, -1, 0, -181, -1219]\) \(-557056/275\) \(-325529600\) \([]\) \(93312\) \(0.33865\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 254320.p1 has rank \(1\).

Complex multiplication

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

Modular form 254320.2.a.p

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} + 4 q^{7} - 2 q^{9} + q^{11} - 4 q^{13} + q^{15} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display