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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 32192m
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 32192.bb1 | 32192m1 | \([0, 0, 0, -8620, 310064]\) | \(-270212594625/2060288\) | \(-540092137472\) | \([]\) | \(92160\) | \(1.0812\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 32192m1 has rank \(0\).
Complex multiplication
The elliptic curves in class 32192m do not have complex multiplication.Modular form 32192.2.a.m
sage: E.q_eigenform(10)