Properties

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

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Show commands: SageMath
E = EllipticCurve("f1")
 
E.isogeny_class()
 

Elliptic curves in class 77976f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
77976.l1 77976f1 \([0, 0, 0, -38988, 3703860]\) \(-3072\) \(-2133513390465792\) \([]\) \(517104\) \(1.6539\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 77976f1 has rank \(1\).

Complex multiplication

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

Modular form 77976.2.a.f

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