Properties

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

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Show commands: SageMath
E = EllipticCurve("b1")
 
E.isogeny_class()
 

Elliptic curves in class 7350.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
7350.b1 7350r1 \([1, 1, 0, 2425, 187125]\) \(16468459/165888\) \(-15876000000000\) \([]\) \(21120\) \(1.2141\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 7350.b1 has rank \(1\).

Complex multiplication

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

Modular form 7350.2.a.b

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} + q^{6} - q^{8} + q^{9} - 5 q^{11} - q^{12} - q^{13} + q^{16} + 2 q^{17} - q^{18} - 7 q^{19} + O(q^{20})\) Copy content Toggle raw display