Properties

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

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Show commands: SageMath
E = EllipticCurve("m1")
 
E.isogeny_class()
 

Elliptic curves in class 2448m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
2448.e1 2448m1 \([0, 0, 0, -48, -196]\) \(-65536/51\) \(-9517824\) \([]\) \(384\) \(0.037764\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 2448m1 has rank \(1\).

Complex multiplication

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

Modular form 2448.2.a.m

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