Properties

Label 74480da
Number of curves $1$
Conductor $74480$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("da1")
 
E.isogeny_class()
 

Elliptic curves in class 74480da

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
74480.d1 74480da1 \([0, 0, 0, -37387, 2971066]\) \(-11993263569/972800\) \(-468782887731200\) \([]\) \(494208\) \(1.5613\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 74480da1 has rank \(1\).

Complex multiplication

The elliptic curves in class 74480da do not have complex multiplication.

Modular form 74480.2.a.da

sage: E.q_eigenform(10)
 
\(q - 3 q^{3} + q^{5} + 6 q^{9} + 4 q^{11} + q^{13} - 3 q^{15} + 3 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display