Properties

Label 2520.p
Number of curves $1$
Conductor $2520$
CM no
Rank $0$

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

Elliptic curves in class 2520.p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
2520.p1 2520s1 \([0, 0, 0, -12, -124]\) \(-1024/35\) \(-6531840\) \([]\) \(480\) \(-0.012025\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 2520.p1 has rank \(0\).

Complex multiplication

The elliptic curves in class 2520.p do not have complex multiplication.

Modular form 2520.2.a.p

sage: E.q_eigenform(10)
 
\(q + q^{5} - q^{7} + 5q^{11} + q^{13} - 3q^{17} - 6q^{19} + O(q^{20})\)  Toggle raw display