Properties

Label 12600.m
Number of curves $1$
Conductor $12600$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("m1")
 
E.isogeny_class()
 

Elliptic curves in class 12600.m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
12600.m1 12600ch1 \([0, 0, 0, -6375, 464375]\) \(-6288640/16807\) \(-76576893750000\) \([]\) \(28800\) \(1.3516\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 12600.m1 has rank \(0\).

Complex multiplication

The elliptic curves in class 12600.m do not have complex multiplication.

Modular form 12600.2.a.m

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