Properties

Label 77616.o
Number of curves $1$
Conductor $77616$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("o1")
 
E.isogeny_class()
 

Elliptic curves in class 77616.o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
77616.o1 77616fq1 \([0, 0, 0, -9849, -448301]\) \(-76995328/18711\) \(-25676318240496\) \([]\) \(184320\) \(1.2915\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 77616.o1 has rank \(2\).

Complex multiplication

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

Modular form 77616.2.a.o

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