Properties

Label 153d
Number of curves $1$
Conductor $153$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("d1")
 
E.isogeny_class()
 

Elliptic curves in class 153d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
153.d1 153d1 \([0, 0, 1, -27, -61]\) \(-110592/17\) \(-334611\) \([]\) \(24\) \(-0.21092\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 153d1 has rank \(0\).

Complex multiplication

The elliptic curves in class 153d do not have complex multiplication.

Modular form 153.2.a.d

sage: E.q_eigenform(10)
 
\(q + 2 q^{2} + 2 q^{4} + q^{5} - 2 q^{7} + 2 q^{10} + 3 q^{11} - 5 q^{13} - 4 q^{14} - 4 q^{16} + q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display