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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 405600.l
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 405600.l1 | 405600l1 | \([0, -1, 0, -20420833, 35525599537]\) | \(824348200000/243\) | \(277612920000000000\) | \([]\) | \(21772800\) | \(2.7126\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 405600.l1 has rank \(0\).
Complex multiplication
The elliptic curves in class 405600.l do not have complex multiplication.Modular form 405600.2.a.l
sage: E.q_eigenform(10)