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SageMath
E = EllipticCurve("be1")
E.isogeny_class()
Elliptic curves in class 348726be
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
348726.be1 | 348726be1 | \([1, 0, 1, 995382740502, -322149530840420516]\) | \(2318314888982052959258980764303839/2294583335871127030705847402496\) | \(-107950694563976073622470642901985918976\) | \([]\) | \(10199347200\) | \(5.9849\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 348726be1 has rank \(1\).
Complex multiplication
The elliptic curves in class 348726be do not have complex multiplication.Modular form 348726.2.a.be
sage: E.q_eigenform(10)