Properties

Label 33150.r
Number of curves $1$
Conductor $33150$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("r1")
 
E.isogeny_class()
 

Elliptic curves in class 33150.r

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
33150.r1 33150t1 \([1, 0, 1, -104026, 32135948]\) \(-7967524044697489/23957190366720\) \(-374331099480000000\) \([]\) \(414720\) \(2.0588\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 33150.r1 has rank \(1\).

Complex multiplication

The elliptic curves in class 33150.r do not have complex multiplication.

Modular form 33150.2.a.r

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{3} + q^{4} - q^{6} - 2 q^{7} - q^{8} + q^{9} - q^{11} + q^{12} + q^{13} + 2 q^{14} + q^{16} - q^{17} - q^{18} - q^{19} + O(q^{20})\) Copy content Toggle raw display