Properties

Label 76230.l
Number of curves $1$
Conductor $76230$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("l1")
 
E.isogeny_class()
 

Elliptic curves in class 76230.l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
76230.l1 76230u1 \([1, -1, 0, -20895, 1167821]\) \(-11437987859001/358400\) \(-31614105600\) \([]\) \(147840\) \(1.1109\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 76230.l1 has rank \(1\).

Complex multiplication

The elliptic curves in class 76230.l do not have complex multiplication.

Modular form 76230.2.a.l

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{5} - q^{7} - q^{8} + q^{10} + 3 q^{13} + q^{14} + q^{16} - 2 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display