Properties

Label 284592i
Number of curves $1$
Conductor $284592$
CM no
Rank $0$

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

Elliptic curves in class 284592i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
284592.i1 284592i1 \([0, -1, 0, -2515, 93766]\) \(-157696/243\) \(-2712039100848\) \([]\) \(766080\) \(1.0772\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 284592i1 has rank \(0\).

Complex multiplication

The elliptic curves in class 284592i do not have complex multiplication.

Modular form 284592.2.a.i

sage: E.q_eigenform(10)
 
\(q - q^{3} - 4 q^{5} + q^{9} + 3 q^{13} + 4 q^{15} + 6 q^{17} + O(q^{20})\) Copy content Toggle raw display