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SageMath
E = EllipticCurve("be1")
E.isogeny_class()
Elliptic curves in class 338130.be
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
338130.be1 | 338130be1 | \([1, -1, 0, -2978199, -1984280787]\) | \(-574468255729/2284880\) | \(-11619362354446426320\) | \([]\) | \(9987840\) | \(2.5154\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 338130.be1 has rank \(0\).
Complex multiplication
The elliptic curves in class 338130.be do not have complex multiplication.Modular form 338130.2.a.be
sage: E.q_eigenform(10)