Properties

Label 77616cy
Number of curves $1$
Conductor $77616$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("cy1")
 
E.isogeny_class()
 

Elliptic curves in class 77616cy

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
77616.fu1 77616cy1 \([0, 0, 0, -3906819, 2973011202]\) \(-34068278205171/10307264\) \(-1995201672913354752\) \([]\) \(1451520\) \(2.4890\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 77616cy1 has rank \(1\).

Complex multiplication

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

Modular form 77616.2.a.cy

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