Properties

Label 91728.ef
Number of curves $1$
Conductor $91728$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("ef1")
 
E.isogeny_class()
 

Elliptic curves in class 91728.ef

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
91728.ef1 91728ff1 \([0, 0, 0, -53067, 5407738]\) \(-47045881/8736\) \(-3068939604197376\) \([]\) \(368640\) \(1.6962\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 91728.ef1 has rank \(1\).

Complex multiplication

The elliptic curves in class 91728.ef do not have complex multiplication.

Modular form 91728.2.a.ef

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