Properties

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

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Show commands: SageMath
E = EllipticCurve("dg1")
 
E.isogeny_class()
 

Elliptic curves in class 77616dg

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
77616.fc1 77616dg1 \([0, 0, 0, -21270459, 37768253418]\) \(-34068278205171/10307264\) \(-321993801943186931712\) \([]\) \(3386880\) \(2.9127\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 77616dg1 has rank \(1\).

Complex multiplication

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

Modular form 77616.2.a.dg

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