Properties

Label 33462.m
Number of curves $1$
Conductor $33462$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("m1")
 
E.isogeny_class()
 

Elliptic curves in class 33462.m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
33462.m1 33462b1 \([1, -1, 0, -135420, 19148624]\) \(82564992800667/329832448\) \(1097163560503296\) \([]\) \(190080\) \(1.7427\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 33462.m1 has rank \(1\).

Complex multiplication

The elliptic curves in class 33462.m do not have complex multiplication.

Modular form 33462.2.a.m

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{5} - q^{8} + q^{10} - q^{11} + q^{16} - 3 q^{17} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display