Properties

Label 2448k
Number of curves $1$
Conductor $2448$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("k1")
 
E.isogeny_class()
 

Elliptic curves in class 2448k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
2448.m1 2448k1 \([0, 0, 0, -432, 3888]\) \(-110592/17\) \(-1370566656\) \([]\) \(960\) \(0.48223\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 2448k1 has rank \(1\).

Complex multiplication

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

Modular form 2448.2.a.k

sage: E.q_eigenform(10)
 
\(q + q^{5} + 2 q^{7} - 3 q^{11} - 5 q^{13} + q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display