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SageMath
E = EllipticCurve("be1")
E.isogeny_class()
Elliptic curves in class 38808.be
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
38808.be1 | 38808ci1 | \([0, 0, 0, -104223, -12981521]\) | \(-91238612224/251559\) | \(-345203834122224\) | \([]\) | \(110592\) | \(1.6627\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 38808.be1 has rank \(1\).
Complex multiplication
The elliptic curves in class 38808.be do not have complex multiplication.Modular form 38808.2.a.be
sage: E.q_eigenform(10)