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SageMath
E = EllipticCurve("dl1")
E.isogeny_class()
Elliptic curves in class 241200.dl
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 241200.dl1 | 241200dl1 | \([0, 0, 0, -37756875, -336128143750]\) | \(-204138217783825/1555673776128\) | \(-45363447311892480000000000\) | \([]\) | \(60318720\) | \(3.6060\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 241200.dl1 has rank \(0\).
Complex multiplication
The elliptic curves in class 241200.dl do not have complex multiplication.Modular form 241200.2.a.dl
sage: E.q_eigenform(10)