Properties

Label 77976.c
Number of curves $1$
Conductor $77976$
CM no
Rank $0$

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

Elliptic curves in class 77976.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
77976.c1 77976j1 \([0, 0, 0, -87723, 4074246]\) \(39366/19\) \(36032670594533376\) \([]\) \(518400\) \(1.8706\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 77976.c1 has rank \(0\).

Complex multiplication

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

Modular form 77976.2.a.c

sage: E.q_eigenform(10)
 
\(q - q^{5} + 3 q^{7} + q^{13} + 2 q^{17} + O(q^{20})\) Copy content Toggle raw display