Properties

Label 15210t
Number of curves $1$
Conductor $15210$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("t1")
 
E.isogeny_class()
 

Elliptic curves in class 15210t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
15210.s1 15210t1 \([1, -1, 0, 359451, -34771307]\) \(41689615345255319/28343520000000\) \(-3491950007520000000\) \([]\) \(325248\) \(2.2467\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 15210t1 has rank \(1\).

Complex multiplication

The elliptic curves in class 15210t do not have complex multiplication.

Modular form 15210.2.a.t

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} + q^{5} + 2 q^{7} - q^{8} - q^{10} - 5 q^{11} - 2 q^{14} + q^{16} + 2 q^{17} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display