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SageMath
E = EllipticCurve("fm1")
E.isogeny_class()
Elliptic curves in class 106560fm
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 106560.e1 | 106560fm1 | \([0, 0, 0, 1500518292, -11233634370032]\) | \(15641202222032012520134968/11333785667400691734375\) | \(-270740021298302296862208000000\) | \([]\) | \(192245760\) | \(4.3359\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 106560fm1 has rank \(0\).
Complex multiplication
The elliptic curves in class 106560fm do not have complex multiplication.Modular form 106560.2.a.fm
sage: E.q_eigenform(10)