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SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 252378.x
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
252378.x1 | 252378x1 | \([1, -1, 1, -173, -1151]\) | \(-781229961/392588\) | \(-286196652\) | \([]\) | \(229824\) | \(0.32764\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 252378.x1 has rank \(0\).
Complex multiplication
The elliptic curves in class 252378.x do not have complex multiplication.Modular form 252378.2.a.x
sage: E.q_eigenform(10)