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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 23829.l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
23829.l1 | 23829j1 | \([0, 1, 1, -2084, 13199]\) | \(207474688/102789\) | \(496142870301\) | \([]\) | \(64512\) | \(0.93721\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 23829.l1 has rank \(0\).
Complex multiplication
The elliptic curves in class 23829.l do not have complex multiplication.Modular form 23829.2.a.l
sage: E.q_eigenform(10)