Properties

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

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Show commands: SageMath
E = EllipticCurve("di1")
 
E.isogeny_class()
 

Elliptic curves in class 9450.di

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
9450.di1 9450cm1 \([1, -1, 1, -95, -233]\) \(139090635/38416\) \(25930800\) \([]\) \(2304\) \(0.13004\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 9450.di1 has rank \(1\).

Complex multiplication

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

Modular form 9450.2.a.di

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