Properties

Label 11592d
Number of curves $1$
Conductor $11592$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("d1")
 
E.isogeny_class()
 

Elliptic curves in class 11592d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
11592.e1 11592d1 \([0, 0, 0, -75771, -8145009]\) \(-4124632486295808/70140333767\) \(-818116853058288\) \([]\) \(37632\) \(1.6600\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 11592d1 has rank \(1\).

Complex multiplication

The elliptic curves in class 11592d do not have complex multiplication.

Modular form 11592.2.a.d

sage: E.q_eigenform(10)
 
\(q - 2 q^{5} - q^{7} - 2 q^{11} - q^{13} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display