Properties

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

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Show commands: SageMath
E = EllipticCurve("s1")
 
E.isogeny_class()
 

Elliptic curves in class 2520s

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 2520s1 has rank \(0\).

Complex multiplication

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

Modular form 2520.2.a.s

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