Properties

Label 397800t
Number of curves $1$
Conductor $397800$
CM no
Rank $2$

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

Elliptic curves in class 397800t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
397800.t1 397800t1 \([0, 0, 0, -27375, 1996875]\) \(-2688885504/485537\) \(-409671843750000\) \([]\) \(1290240\) \(1.5290\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 397800t1 has rank \(2\).

Complex multiplication

The elliptic curves in class 397800t do not have complex multiplication.

Modular form 397800.2.a.t

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