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SageMath
E = EllipticCurve("xt1")
E.isogeny_class()
Elliptic curves in class 19051200.xt
sage: E.isogeny_class().curves
| LMFDB label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height |
|---|---|---|---|---|---|---|
| 19051200.xt1 | \([0, 0, 0, 132300, -5402250]\) | \(995328/625\) | \(-160811476875000000\) | \([]\) | \(159252480\) | \(1.9906\) |
Rank
sage: E.rank()
The elliptic curve 19051200.xt1 has rank \(1\).
Complex multiplication
The elliptic curves in class 19051200.xt do not have complex multiplication.Modular form 19051200.2.a.xt
sage: E.q_eigenform(10)