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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 435344.l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
435344.l1 | 435344l1 | \([0, 1, 0, -28617, 542803]\) | \(2097544192/1107197\) | \(1368122481759488\) | \([]\) | \(1483776\) | \(1.5959\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 435344.l1 has rank \(1\).
Complex multiplication
The elliptic curves in class 435344.l do not have complex multiplication.Modular form 435344.2.a.l
sage: E.q_eigenform(10)