Properties

Label 2448.s
Number of curves $1$
Conductor $2448$
CM no
Rank $0$

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

Elliptic curves in class 2448.s

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
2448.s1 2448e1 \([0, 0, 0, -156, 1532]\) \(-2249728/4131\) \(-770943744\) \([]\) \(1280\) \(0.39530\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 2448.s1 has rank \(0\).

Complex multiplication

The elliptic curves in class 2448.s do not have complex multiplication.

Modular form 2448.2.a.s

sage: E.q_eigenform(10)
 
\(q + 3 q^{5} + 4 q^{7} + q^{11} - 5 q^{13} - q^{17} + 7 q^{19} + O(q^{20})\) Copy content Toggle raw display