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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 235950.j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
235950.j1 | 235950j1 | \([1, 1, 0, -152000, 22755000]\) | \(-205425117472201/92116440\) | \(-174157644375000\) | \([]\) | \(1520640\) | \(1.6907\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 235950.j1 has rank \(1\).
Complex multiplication
The elliptic curves in class 235950.j do not have complex multiplication.Modular form 235950.2.a.j
sage: E.q_eigenform(10)