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SageMath
E = EllipticCurve("em1")
E.isogeny_class()
Elliptic curves in class 139230em
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
139230.n1 | 139230em1 | \([1, -1, 0, 4305, -45675]\) | \(326755320842133/220919335000\) | \(-5964822045000\) | \([]\) | \(268800\) | \(1.1401\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 139230em1 has rank \(1\).
Complex multiplication
The elliptic curves in class 139230em do not have complex multiplication.Modular form 139230.2.a.em
sage: E.q_eigenform(10)