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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 68544.l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
68544.l1 | 68544cq1 | \([0, 0, 0, -1524, -26854]\) | \(-8390176768/1821771\) | \(-84996547776\) | \([]\) | \(71680\) | \(0.81807\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 68544.l1 has rank \(0\).
Complex multiplication
The elliptic curves in class 68544.l do not have complex multiplication.Modular form 68544.2.a.l
sage: E.q_eigenform(10)