Properties

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

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Show commands: SageMath
E = EllipticCurve("be1")
 
E.isogeny_class()
 

Elliptic curves in class 6300.be

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
6300.be1 6300r1 \([0, 0, 0, -45, -135]\) \(-34560/7\) \(-2041200\) \([]\) \(1152\) \(-0.066769\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 6300.be1 has rank \(0\).

Complex multiplication

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

Modular form 6300.2.a.be

sage: E.q_eigenform(10)
 
\(q + q^{7} + 5 q^{11} - 6 q^{13} - 4 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display