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SageMath
E = EllipticCurve("gd1")
E.isogeny_class()
Elliptic curves in class 111600.gd
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 111600.gd1 | 111600fh1 | \([0, 0, 0, -82983675, 292475614250]\) | \(-1354547383894636849/8173828125000\) | \(-381358125000000000000000\) | \([]\) | \(21565440\) | \(3.3644\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 111600.gd1 has rank \(0\).
Complex multiplication
The elliptic curves in class 111600.gd do not have complex multiplication.Modular form 111600.2.a.gd
sage: E.q_eigenform(10)