Properties

Label 1850.d
Number of curves $1$
Conductor $1850$
CM no
Rank $1$

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

Elliptic curves in class 1850.d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
1850.d1 1850e1 \([1, -1, 0, -242, 1916]\) \(-804357/296\) \(-578125000\) \([]\) \(720\) \(0.39154\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 1850.d1 has rank \(1\).

Complex multiplication

The elliptic curves in class 1850.d do not have complex multiplication.

Modular form 1850.2.a.d

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{7} - q^{8} - 3 q^{9} - 3 q^{11} + 4 q^{13} + q^{14} + q^{16} + 3 q^{17} + 3 q^{18} + O(q^{20})\) Copy content Toggle raw display