Properties

Label 352800.t
Number of curves $1$
Conductor $352800$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("t1")
 
E.isogeny_class()
 

Elliptic curves in class 352800.t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
352800.t1 352800t1 \([0, 0, 0, 25725, -600250]\) \(1512\) \(-1245197016000000\) \([]\) \(1451520\) \(1.5853\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 352800.t1 has rank \(1\).

Complex multiplication

The elliptic curves in class 352800.t do not have complex multiplication.

Modular form 352800.2.a.t

sage: E.q_eigenform(10)
 
\(q - 5 q^{11} - 2 q^{13} - 2 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display