Properties

Label 25200.dl
Number of curves $1$
Conductor $25200$
CM no
Rank $1$

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

Elliptic curves in class 25200.dl

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
25200.dl1 25200t1 \([0, 0, 0, -76275, -10666350]\) \(-1947910950/823543\) \(-20748539992320000\) \([]\) \(177408\) \(1.8387\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 25200.dl1 has rank \(1\).

Complex multiplication

The elliptic curves in class 25200.dl do not have complex multiplication.

Modular form 25200.2.a.dl

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