Properties

Label 74529.b
Number of curves $1$
Conductor $74529$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("b1")
 
E.isogeny_class()
 

Elliptic curves in class 74529.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
74529.b1 74529bh1 \([0, 0, 1, -1962597, 1210800204]\) \(-2019487744/361179\) \(-149519685016946011131\) \([]\) \(3096576\) \(2.5965\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 74529.b1 has rank \(1\).

Complex multiplication

The elliptic curves in class 74529.b do not have complex multiplication.

Modular form 74529.2.a.b

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