Properties

Label 123840.n
Number of curves $1$
Conductor $123840$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("n1")
 
E.isogeny_class()
 

Elliptic curves in class 123840.n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
123840.n1 123840fo1 \([0, 0, 0, -2028, -39152]\) \(-38614472/5375\) \(-128397312000\) \([]\) \(129024\) \(0.86304\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 123840.n1 has rank \(0\).

Complex multiplication

The elliptic curves in class 123840.n do not have complex multiplication.

Modular form 123840.2.a.n

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