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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 13456l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
13456.a1 | 13456l1 | \([0, 0, 0, -15979, -1121894]\) | \(-185193/116\) | \(-282621973446656\) | \([]\) | \(80640\) | \(1.4746\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 13456l1 has rank \(0\).
Complex multiplication
The elliptic curves in class 13456l do not have complex multiplication.Modular form 13456.2.a.l
sage: E.q_eigenform(10)