Properties

Label 77976h
Number of curves $1$
Conductor $77976$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("h1")
 
E.isogeny_class()
 

Elliptic curves in class 77976h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
77976.d1 77976h1 \([0, 0, 0, -1083, 233206]\) \(-6\) \(-23413041321984\) \([]\) \(171072\) \(1.2447\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 77976h1 has rank \(1\).

Complex multiplication

The elliptic curves in class 77976h do not have complex multiplication.

Modular form 77976.2.a.h

sage: E.q_eigenform(10)
 
\(q - q^{5} + 3 q^{7} + 5 q^{11} - 4 q^{13} - 8 q^{17} + O(q^{20})\) Copy content Toggle raw display