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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 20286.l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
20286.l1 | 20286l1 | \([1, -1, 0, 93945, -8398531]\) | \(13581780628779/12348030976\) | \(-83364878739308544\) | \([]\) | \(155904\) | \(1.9342\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 20286.l1 has rank \(1\).
Complex multiplication
The elliptic curves in class 20286.l do not have complex multiplication.Modular form 20286.2.a.l
sage: E.q_eigenform(10)