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SageMath
E = EllipticCurve("z1")
E.isogeny_class()
Elliptic curves in class 38025.z
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
38025.z1 | 38025k1 | \([1, -1, 1, -110, 82]\) | \(1755\) | \(83160675\) | \([]\) | \(8640\) | \(0.20951\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 38025.z1 has rank \(1\).
Complex multiplication
The elliptic curves in class 38025.z do not have complex multiplication.Modular form 38025.2.a.z
sage: E.q_eigenform(10)