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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 192027e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
192027.j1 | 192027e1 | \([1, 0, 0, 58, -153]\) | \(2783/3\) | \(-23235267\) | \([]\) | \(42048\) | \(0.10005\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 192027e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 192027e do not have complex multiplication.Modular form 192027.2.a.e
sage: E.q_eigenform(10)