Properties

Label 7350.e
Number of curves $1$
Conductor $7350$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("e1")
 
E.isogeny_class()
 

Elliptic curves in class 7350.e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
7350.e1 7350l1 \([1, 1, 0, -352825, -19062875]\) \(2157045625/1179648\) \(2656420300800000000\) \([]\) \(171360\) \(2.2260\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 7350.e1 has rank \(0\).

Complex multiplication

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

Modular form 7350.2.a.e

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