Properties

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

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Show commands: SageMath
E = EllipticCurve("i1")
 
E.isogeny_class()
 

Elliptic curves in class 7350.i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
7350.i1 7350f1 \([1, 1, 0, -308480, 65863680]\) \(-1103770289367265/891813888\) \(-2623025302732800\) \([]\) \(109440\) \(1.8882\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 7350.i1 has rank \(0\).

Complex multiplication

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

Modular form 7350.2.a.i

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