Properties

Label 8100.d
Number of curves $1$
Conductor $8100$
CM no
Rank $1$

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

Elliptic curves in class 8100.d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
8100.d1 8100k1 \([0, 0, 0, -3000, 62500]\) \(73728\) \(40500000000\) \([]\) \(5760\) \(0.84177\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 8100.d1 has rank \(1\).

Complex multiplication

The elliptic curves in class 8100.d do not have complex multiplication.

Modular form 8100.2.a.d

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