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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 79350.j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
79350.j1 | 79350r1 | \([1, 1, 0, -1825325, -949027875]\) | \(11631015625/13248\) | \(766085725575000000\) | \([]\) | \(1520640\) | \(2.3450\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 79350.j1 has rank \(1\).
Complex multiplication
The elliptic curves in class 79350.j do not have complex multiplication.Modular form 79350.2.a.j
sage: E.q_eigenform(10)