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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 141570.p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
141570.p1 | 141570dy1 | \([1, -1, 0, 57150, -87201900]\) | \(132098879/21091200\) | \(-3295871716560508800\) | \([]\) | \(2128896\) | \(2.2326\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 141570.p1 has rank \(1\).
Complex multiplication
The elliptic curves in class 141570.p do not have complex multiplication.Modular form 141570.2.a.p
sage: E.q_eigenform(10)