Properties

Label 254100dl
Number of curves $1$
Conductor $254100$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("dl1")
 
E.isogeny_class()
 

Elliptic curves in class 254100dl

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
254100.dl1 254100dl1 \([0, 1, 0, -17367533, -27871481937]\) \(-81756451446784/24958395\) \(-176861276818380000000\) \([]\) \(12441600\) \(2.8623\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 254100dl1 has rank \(1\).

Complex multiplication

The elliptic curves in class 254100dl do not have complex multiplication.

Modular form 254100.2.a.dl

sage: E.q_eigenform(10)
 
\(q + q^{3} + q^{7} + q^{9} + 2 q^{13} - 7 q^{17} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display