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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 28900l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
28900.e1 | 28900l1 | \([0, -1, 0, -8188, 776072]\) | \(-272\) | \(-223224238112000\) | \([]\) | \(102816\) | \(1.4390\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 28900l1 has rank \(0\).
Complex multiplication
The elliptic curves in class 28900l do not have complex multiplication.Modular form 28900.2.a.l
sage: E.q_eigenform(10)