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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 49098.l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
49098.l1 | 49098q1 | \([1, 0, 1, 27610, -559240]\) | \(19785968032823/12608077824\) | \(-1483327747915776\) | \([]\) | \(364320\) | \(1.6001\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 49098.l1 has rank \(1\).
Complex multiplication
The elliptic curves in class 49098.l do not have complex multiplication.Modular form 49098.2.a.l
sage: E.q_eigenform(10)