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SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 103488.x
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 103488.x1 | 103488y1 | \([0, -1, 0, 6991, 146385]\) | \(47061251888/39135393\) | \(-31418519666688\) | \([]\) | \(230400\) | \(1.2776\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 103488.x1 has rank \(0\).
Complex multiplication
The elliptic curves in class 103488.x do not have complex multiplication.Modular form 103488.2.a.x
sage: E.q_eigenform(10)