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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 230115.u
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 230115.u1 | 230115u1 | \([0, 1, 1, -55125895165, -1646250157331069]\) | \(125147927114815865709295304704/64514985611316331088611125\) | \(9550533248793421532920885664665125\) | \([]\) | \(1130088960\) | \(5.2123\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 230115.u1 has rank \(0\).
Complex multiplication
The elliptic curves in class 230115.u do not have complex multiplication.Modular form 230115.2.a.u
sage: E.q_eigenform(10)