Properties

Label 6300.z
Number of curves $1$
Conductor $6300$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("z1")
 
E.isogeny_class()
 

Elliptic curves in class 6300.z

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
6300.z1 6300l1 \([0, 0, 0, 9375, 165625]\) \(800000/567\) \(-64584843750000\) \([]\) \(11520\) \(1.3384\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 6300.z1 has rank \(0\).

Complex multiplication

The elliptic curves in class 6300.z do not have complex multiplication.

Modular form 6300.2.a.z

sage: E.q_eigenform(10)
 
\(q + q^{7} + q^{11} + 2 q^{13} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display