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SageMath
E = EllipticCurve("be1")
E.isogeny_class()
Elliptic curves in class 379050.be
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
379050.be1 | 379050be1 | \([1, 1, 0, 10717000, 10429164000]\) | \(185183253170999/171032148000\) | \(-125724345030974812500000\) | \([]\) | \(49766400\) | \(3.1196\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 379050.be1 has rank \(1\).
Complex multiplication
The elliptic curves in class 379050.be do not have complex multiplication.Modular form 379050.2.a.be
sage: E.q_eigenform(10)