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SageMath
E = EllipticCurve("ce1")
E.isogeny_class()
Elliptic curves in class 205350ce
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
205350.ba1 | 205350ce1 | \([1, 0, 1, -250556, 307556858]\) | \(-5423945093/124291584\) | \(-39862274935655232000\) | \([]\) | \(9455616\) | \(2.4417\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 205350ce1 has rank \(1\).
Complex multiplication
The elliptic curves in class 205350ce do not have complex multiplication.Modular form 205350.2.a.ce
sage: E.q_eigenform(10)