Properties

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

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Show commands: SageMath
E = EllipticCurve("f1")
 
E.isogeny_class()
 

Elliptic curves in class 6300.f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
6300.f1 6300e1 \([0, 0, 0, 15, 205]\) \(1280/63\) \(-18370800\) \([]\) \(1152\) \(0.073590\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 6300.f1 has rank \(1\).

Complex multiplication

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

Modular form 6300.2.a.f

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