Properties

Label 61200f
Number of curves $1$
Conductor $61200$
CM no
Rank $1$

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

Elliptic curves in class 61200f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
61200.z1 61200f1 \([0, 0, 0, -675, -2430]\) \(33750/17\) \(17132083200\) \([]\) \(36864\) \(0.65633\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 61200f1 has rank \(1\).

Complex multiplication

The elliptic curves in class 61200f do not have complex multiplication.

Modular form 61200.2.a.f

sage: E.q_eigenform(10)
 
\(q - 3 q^{7} - 3 q^{11} - 4 q^{13} - q^{17} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display