Properties

Label 24400.l
Number of curves $1$
Conductor $24400$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("l1")
 
E.isogeny_class()
 

Elliptic curves in class 24400.l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
24400.l1 24400c1 \([0, 0, 0, 1974325, 1935868250]\) \(26596817194679118/65984086015625\) \(-2111490752500000000000\) \([]\) \(1370880\) \(2.7757\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 24400.l1 has rank \(1\).

Complex multiplication

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

Modular form 24400.2.a.l

sage: E.q_eigenform(10)
 
\(q - 4 q^{7} - 3 q^{9} + 6 q^{11} - 3 q^{13} - 7 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display