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SageMath
E = EllipticCurve("be1")
E.isogeny_class()
Elliptic curves in class 279174be
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
279174.be1 | 279174be1 | \([1, 0, 1, 19501, 885038]\) | \(33980740919/33632256\) | \(-811800899825664\) | \([]\) | \(1382400\) | \(1.5478\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 279174be1 has rank \(0\).
Complex multiplication
The elliptic curves in class 279174be do not have complex multiplication.Modular form 279174.2.a.be
sage: E.q_eigenform(10)