Properties

Label 24400m
Number of curves $1$
Conductor $24400$
CM no
Rank $1$

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

Elliptic curves in class 24400m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
24400.ba1 24400m1 \([0, -1, 0, 15792, 1226912]\) \(108879878/226981\) \(-907924000000000\) \([]\) \(97920\) \(1.5545\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 24400m1 has rank \(1\).

Complex multiplication

The elliptic curves in class 24400m do not have complex multiplication.

Modular form 24400.2.a.m

sage: E.q_eigenform(10)
 
\(q + 2 q^{3} + 2 q^{7} + q^{9} - 2 q^{11} + 5 q^{13} + 3 q^{17} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display