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SageMath
E = EllipticCurve("z1")
E.isogeny_class()
Elliptic curves in class 54390z
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
54390.y1 | 54390z1 | \([1, 0, 1, -173, -1522]\) | \(-4826809/5550\) | \(-652951950\) | \([]\) | \(36960\) | \(0.38564\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 54390z1 has rank \(0\).
Complex multiplication
The elliptic curves in class 54390z do not have complex multiplication.Modular form 54390.2.a.z
sage: E.q_eigenform(10)