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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 4275.l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
4275.l1 | 4275n1 | \([1, -1, 0, 4158, -72959]\) | \(17446602575/15000633\) | \(-6834663410625\) | \([]\) | \(8064\) | \(1.1503\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 4275.l1 has rank \(1\).
Complex multiplication
The elliptic curves in class 4275.l do not have complex multiplication.Modular form 4275.2.a.l
sage: E.q_eigenform(10)