Properties

Label 25200.d
Number of curves $1$
Conductor $25200$
CM no
Rank $0$

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

Elliptic curves in class 25200.d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
25200.d1 25200bj1 \([0, 0, 0, -69375, -7034375]\) \(-324179200/63\) \(-7176093750000\) \([]\) \(107520\) \(1.4668\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 25200.d1 has rank \(0\).

Complex multiplication

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

Modular form 25200.2.a.d

sage: E.q_eigenform(10)
 
\(q - q^{7} - 5 q^{11} - 4 q^{13} + 2 q^{17} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display