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SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 265200.x
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 265200.x1 | 265200x1 | \([0, -1, 0, -3536008, 4887434512]\) | \(-152796558778456322/233895263671875\) | \(-7484648437500000000000\) | \([]\) | \(14376960\) | \(2.8888\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 265200.x1 has rank \(1\).
Complex multiplication
The elliptic curves in class 265200.x do not have complex multiplication.Modular form 265200.2.a.x
sage: E.q_eigenform(10)