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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 272832.l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
272832.l1 | 272832l1 | \([0, -1, 0, -17607, 848709]\) | \(33392128/2349\) | \(42466199033664\) | \([]\) | \(752640\) | \(1.3624\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 272832.l1 has rank \(0\).
Complex multiplication
The elliptic curves in class 272832.l do not have complex multiplication.Modular form 272832.2.a.l
sage: E.q_eigenform(10)