Properties

Label 92416.d
Number of curves $1$
Conductor $92416$
CM no
Rank $2$

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

Elliptic curves in class 92416.d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
92416.d1 92416u1 \([0, -1, 0, -1165, 15701]\) \(-14795072\) \(-11829248\) \([]\) \(59904\) \(0.41208\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 92416.d1 has rank \(2\).

Complex multiplication

The elliptic curves in class 92416.d do not have complex multiplication.

Modular form 92416.2.a.d

sage: E.q_eigenform(10)
 
\(q - q^{3} - 4 q^{5} - 4 q^{7} - 2 q^{9} - 5 q^{11} - 4 q^{13} + 4 q^{15} - 2 q^{17} + O(q^{20})\) Copy content Toggle raw display