Properties

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

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Show commands: SageMath
E = EllipticCurve("c1")
 
E.isogeny_class()
 

Elliptic curves in class 77616.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
77616.c1 77616eo1 \([0, 0, 0, 140973, -23313710]\) \(17999471/24057\) \(-414107660582719488\) \([]\) \(1204224\) \(2.0662\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 77616.c1 has rank \(1\).

Complex multiplication

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

Modular form 77616.2.a.c

sage: E.q_eigenform(10)
 
\(q - 4 q^{5} - q^{11} + 7 q^{17} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display