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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 17600.l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
17600.l1 | 17600bx1 | \([0, 1, 0, -833, 90463]\) | \(-200/11\) | \(-3520000000000\) | \([]\) | \(24960\) | \(1.0873\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 17600.l1 has rank \(0\).
Complex multiplication
The elliptic curves in class 17600.l do not have complex multiplication.Modular form 17600.2.a.l
sage: E.q_eigenform(10)