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SageMath
E = EllipticCurve("z1")
E.isogeny_class()
Elliptic curves in class 249090z
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 249090.z1 | 249090z1 | \([1, 1, 0, 4026948, -16477806384]\) | \(425228927221079/7153920000000\) | \(-121499051310270720000000\) | \([]\) | \(29494080\) | \(3.1100\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 249090z1 has rank \(0\).
Complex multiplication
The elliptic curves in class 249090z do not have complex multiplication.Modular form 249090.2.a.z
sage: E.q_eigenform(10)