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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 15456u
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 15456.q1 | 15456u1 | \([0, 1, 0, -877136, 315918696]\) | \(-145765603223714807432/10998738542547\) | \(-5631354133784064\) | \([]\) | \(192576\) | \(2.0713\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 15456u1 has rank \(1\).
Complex multiplication
The elliptic curves in class 15456u do not have complex multiplication.Modular form 15456.2.a.u
sage: E.q_eigenform(10)