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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 124950q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
124950.j1 | 124950q1 | \([1, 1, 0, -138450, -535063500]\) | \(-744775/313344\) | \(-123482037420000000000\) | \([]\) | \(6504960\) | \(2.5343\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 124950q1 has rank \(0\).
Complex multiplication
The elliptic curves in class 124950q do not have complex multiplication.Modular form 124950.2.a.q
sage: E.q_eigenform(10)