Properties

Label 74025.d
Number of curves $1$
Conductor $74025$
CM no
Rank $1$

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

Elliptic curves in class 74025.d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
74025.d1 74025j1 \([0, 0, 1, -134112375, 597793782656]\) \(-34695962959686266880/329\) \(-2529573046875\) \([]\) \(6494400\) \(2.8931\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 74025.d1 has rank \(1\).

Complex multiplication

The elliptic curves in class 74025.d do not have complex multiplication.

Modular form 74025.2.a.d

sage: E.q_eigenform(10)
 
\(q - 2 q^{2} + 2 q^{4} - q^{7} + 3 q^{11} - q^{13} + 2 q^{14} - 4 q^{16} + 2 q^{17} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display