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SageMath
E = EllipticCurve("z1")
E.isogeny_class()
Elliptic curves in class 35574.z
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
35574.z1 | 35574be1 | \([1, 0, 1, 3735146, 4390645928]\) | \(228516153239/462422016\) | \(-11661870758813110370304\) | \([]\) | \(2027520\) | \(2.9186\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 35574.z1 has rank \(0\).
Complex multiplication
The elliptic curves in class 35574.z do not have complex multiplication.Modular form 35574.2.a.z
sage: E.q_eigenform(10)