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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 13923.l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
13923.l1 | 13923k1 | \([0, 0, 1, -129, 8235]\) | \(-325660672/40000779\) | \(-29160567891\) | \([]\) | \(17664\) | \(0.68747\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 13923.l1 has rank \(0\).
Complex multiplication
The elliptic curves in class 13923.l do not have complex multiplication.Modular form 13923.2.a.l
sage: E.q_eigenform(10)