Properties

Label 77924.i
Number of curves $1$
Conductor $77924$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("i1")
 
E.isogeny_class()
 

Elliptic curves in class 77924.i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
77924.i1 77924e1 \([0, -1, 0, 202, 8461]\) \(32000/1127\) \(-31944787952\) \([]\) \(33600\) \(0.69554\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 77924.i1 has rank \(1\).

Complex multiplication

The elliptic curves in class 77924.i do not have complex multiplication.

Modular form 77924.2.a.i

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{7} - 2 q^{9} + 3 q^{13} + O(q^{20})\) Copy content Toggle raw display