Properties

Label 77616.n
Number of curves $1$
Conductor $77616$
CM no
Rank $1$

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

Elliptic curves in class 77616.n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
77616.n1 77616bx1 \([0, 0, 0, -399, -6811]\) \(-1755904/3993\) \(-15975002736\) \([]\) \(49152\) \(0.64636\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 77616.n1 has rank \(1\).

Complex multiplication

The elliptic curves in class 77616.n do not have complex multiplication.

Modular form 77616.2.a.n

sage: E.q_eigenform(10)
 
\(q - 3 q^{5} - q^{11} - 5 q^{13} - 4 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display