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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 436800.f
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 436800.f1 | 436800f1 | \([0, -1, 0, 4239167, 2394152629537]\) | \(26327838700600/7738179568562079\) | \(-2476217461939865280000000000\) | \([]\) | \(253440000\) | \(3.9353\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 436800.f1 has rank \(0\).
Complex multiplication
The elliptic curves in class 436800.f do not have complex multiplication.Modular form 436800.2.a.f
sage: E.q_eigenform(10)