Properties

Label 10304.b
Number of curves $1$
Conductor $10304$
CM no
Rank $1$

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

Elliptic curves in class 10304.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
10304.b1 10304bh1 \([0, 0, 0, 97700, 297725608]\) \(100718081964000000/37453512751940327\) \(-38352397057986894848\) \([]\) \(391680\) \(2.4369\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 10304.b1 has rank \(1\).

Complex multiplication

The elliptic curves in class 10304.b do not have complex multiplication.

Modular form 10304.2.a.b

sage: E.q_eigenform(10)
 
\(q - 3q^{3} + q^{7} + 6q^{9} - 6q^{11} - q^{13} + O(q^{20})\)  Toggle raw display