Properties

Label 9450.dc
Number of curves $1$
Conductor $9450$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("dc1")
 
E.isogeny_class()
 

Elliptic curves in class 9450.dc

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
9450.dc1 9450dm1 \([1, -1, 1, -5, 497]\) \(-3/28\) \(-106312500\) \([]\) \(3360\) \(0.21907\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 9450.dc1 has rank \(0\).

Complex multiplication

The elliptic curves in class 9450.dc do not have complex multiplication.

Modular form 9450.2.a.dc

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{4} + q^{7} + q^{8} - 5 q^{11} + q^{14} + q^{16} + 2 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display