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SageMath
E = EllipticCurve("z1")
E.isogeny_class()
Elliptic curves in class 227850.z
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
227850.z1 | 227850hn1 | \([1, 1, 0, -6061325, 26360332125]\) | \(-535893219462505/6222993702912\) | \(-285987885216364800000000\) | \([]\) | \(29030400\) | \(3.1828\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 227850.z1 has rank \(0\).
Complex multiplication
The elliptic curves in class 227850.z do not have complex multiplication.Modular form 227850.2.a.z
sage: E.q_eigenform(10)