Properties

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

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Show commands: SageMath
E = EllipticCurve("o1")
 
E.isogeny_class()
 

Elliptic curves in class 74529.o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
74529.o1 74529u1 \([0, 0, 1, 347802, 1763167747]\) \(32768/9477\) \(-1345677165152514100179\) \([]\) \(1806336\) \(2.7334\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 74529.o1 has rank \(1\).

Complex multiplication

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

Modular form 74529.2.a.o

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