Properties

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

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Show commands: SageMath
E = EllipticCurve("dp1")
 
E.isogeny_class()
 

Elliptic curves in class 77616dp

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
77616.a1 77616dp1 \([0, 0, 0, -672, -15120]\) \(-6193152/14641\) \(-79339696128\) \([]\) \(96768\) \(0.77966\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 77616dp1 has rank \(1\).

Complex multiplication

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

Modular form 77616.2.a.dp

sage: E.q_eigenform(10)
 
\(q - 4 q^{5} - q^{11} - 5 q^{13} - 4 q^{17} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display