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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 33635m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
33635.o1 | 33635m1 | \([0, 1, 1, -320, 262771]\) | \(-4096/33635\) | \(-29851186310435\) | \([]\) | \(122880\) | \(1.2645\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 33635m1 has rank \(1\).
Complex multiplication
The elliptic curves in class 33635m do not have complex multiplication.Modular form 33635.2.a.m
sage: E.q_eigenform(10)