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SageMath
E = EllipticCurve("dl1")
E.isogeny_class()
Elliptic curves in class 212160dl
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 212160.p1 | 212160dl1 | \([0, -1, 0, -36723726081, -2708757366168159]\) | \(-41788232654067676478925951960962/428246593676749551934035\) | \(-56131137526398917271097835520\) | \([]\) | \(394813440\) | \(4.6745\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 212160dl1 has rank \(1\).
Complex multiplication
The elliptic curves in class 212160dl do not have complex multiplication.Modular form 212160.2.a.dl
sage: E.q_eigenform(10)