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SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 310464.x
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 310464.x1 | 310464x1 | \([0, 0, 0, -214032, 40132960]\) | \(-37811178496/2381643\) | \(-68299305952002048\) | \([]\) | \(5087232\) | \(1.9840\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 310464.x1 has rank \(0\).
Complex multiplication
The elliptic curves in class 310464.x do not have complex multiplication.Modular form 310464.2.a.x
sage: E.q_eigenform(10)