Properties

Label 302016t
Number of curves $1$
Conductor $302016$
CM no
Rank $0$

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

Elliptic curves in class 302016t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
302016.t1 302016t1 \([0, -1, 0, -3549, -149565]\) \(-360448/507\) \(-6955516970688\) \([]\) \(608256\) \(1.1565\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 302016t1 has rank \(0\).

Complex multiplication

The elliptic curves in class 302016t do not have complex multiplication.

Modular form 302016.2.a.t

sage: E.q_eigenform(10)
 
\(q - q^{3} - 2 q^{5} - 3 q^{7} + q^{9} + q^{13} + 2 q^{15} + 2 q^{17} + 7 q^{19} + O(q^{20})\) Copy content Toggle raw display