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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 185020.l
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 185020.l1 | 185020k1 | \([0, 1, 0, -3772165, -2821920212]\) | \(-881852416/275\) | \(-1851111826520884400\) | \([]\) | \(4593600\) | \(2.4813\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 185020.l1 has rank \(0\).
Complex multiplication
The elliptic curves in class 185020.l do not have complex multiplication.Modular form 185020.2.a.l
sage: E.q_eigenform(10)