Properties

Label 5850d
Number of curves $1$
Conductor $5850$
CM no
Rank $0$

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

Elliptic curves in class 5850d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
5850.f1 5850d1 \([1, -1, 0, -312, -5824]\) \(-6838155/26624\) \(-13101004800\) \([]\) \(3168\) \(0.62680\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 5850d1 has rank \(0\).

Complex multiplication

The elliptic curves in class 5850d do not have complex multiplication.

Modular form 5850.2.a.d

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - 2 q^{7} - q^{8} - 2 q^{11} + q^{13} + 2 q^{14} + q^{16} + 4 q^{17} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display