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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 471510l
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 471510.l1 | 471510l1 | \([1, -1, 0, -15819538500, -793613580671664]\) | \(-124427822010671478697670089/5317924709672681472000\) | \(-18712414393628484281740296192000\) | \([]\) | \(1678786560\) | \(4.7666\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 471510l1 has rank \(1\).
Complex multiplication
The elliptic curves in class 471510l do not have complex multiplication.Modular form 471510.2.a.l
sage: E.q_eigenform(10)