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SageMath
E = EllipticCurve("be1")
E.isogeny_class()
Elliptic curves in class 190575.be
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
190575.be1 | 190575bt1 | \([1, -1, 1, 59427070, 30135022822]\) | \(1382658525/823543\) | \(-13824454969197619892578125\) | \([]\) | \(37255680\) | \(3.5134\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 190575.be1 has rank \(0\).
Complex multiplication
The elliptic curves in class 190575.be do not have complex multiplication.Modular form 190575.2.a.be
sage: E.q_eigenform(10)