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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 481338c
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 481338.c1 | 481338c1 | \([1, -1, 0, 12699, 5375893]\) | \(2567439070823/143190687744\) | \(-12630707375210496\) | \([]\) | \(4792320\) | \(1.7692\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 481338c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 481338c do not have complex multiplication.Modular form 481338.2.a.c
sage: E.q_eigenform(10)