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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 250173.l
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 250173.l1 | 250173l1 | \([0, 0, 1, -3831272784, -91277069461270]\) | \(979217654243917824/2706784157\) | \(17192036594621806337984949\) | \([]\) | \(127680000\) | \(4.0750\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 250173.l1 has rank \(1\).
Complex multiplication
The elliptic curves in class 250173.l do not have complex multiplication.Modular form 250173.2.a.l
sage: E.q_eigenform(10)