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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 227850.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
227850.e1 | 227850ij1 | \([1, 1, 0, 9005, 889645]\) | \(9415976722745/44986834944\) | \(-385762109644800\) | \([]\) | \(1098240\) | \(1.4812\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 227850.e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 227850.e do not have complex multiplication.Modular form 227850.2.a.e
sage: E.q_eigenform(10)