Properties

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

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Show commands: SageMath
E = EllipticCurve("t1")
 
E.isogeny_class()
 

Elliptic curves in class 77616t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
77616.cu1 77616t1 \([0, 0, 0, -1323, 83349]\) \(-6912/77\) \(-2852924248944\) \([]\) \(73728\) \(1.0719\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 77616t1 has rank \(1\).

Complex multiplication

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

Modular form 77616.2.a.t

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