Properties

Label 7350.cm
Number of curves $1$
Conductor $7350$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("cm1")
 
E.isogeny_class()
 

Elliptic curves in class 7350.cm

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
7350.cm1 7350cy1 \([1, 0, 0, -7712013, 8248384017]\) \(-1103770289367265/891813888\) \(-40984770355200000000\) \([]\) \(547200\) \(2.6929\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 7350.cm1 has rank \(1\).

Complex multiplication

The elliptic curves in class 7350.cm do not have complex multiplication.

Modular form 7350.2.a.cm

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{3} + q^{4} + q^{6} + q^{8} + q^{9} - 2 q^{11} + q^{12} - 7 q^{13} + q^{16} + 7 q^{17} + q^{18} - 8 q^{19} + O(q^{20})\) Copy content Toggle raw display