Properties

Label 74529t
Number of curves $1$
Conductor $74529$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("t1")
 
E.isogeny_class()
 

Elliptic curves in class 74529t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
74529.bb1 74529t1 \([0, 0, 1, 7098, -5140431]\) \(32768/9477\) \(-11438067175687971\) \([]\) \(258048\) \(1.7605\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 74529t1 has rank \(1\).

Complex multiplication

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

Modular form 74529.2.a.t

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