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SageMath
E = EllipticCurve("be1")
E.isogeny_class()
Elliptic curves in class 215985.be
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
215985.be1 | 215985bg1 | \([0, -1, 1, -575942011, -5320730434779]\) | \(-11926249134908509075308544/2246680441062421875\) | \(-3980131448848985159296875\) | \([]\) | \(58800000\) | \(3.7218\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 215985.be1 has rank \(0\).
Complex multiplication
The elliptic curves in class 215985.be do not have complex multiplication.Modular form 215985.2.a.be
sage: E.q_eigenform(10)