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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 20328.m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
20328.m1 | 20328h1 | \([0, 1, 0, 1256908, -2469488991]\) | \(5820759945472/73222472421\) | \(-2762476156390530078576\) | \([]\) | \(887040\) | \(2.7950\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 20328.m1 has rank \(1\).
Complex multiplication
The elliptic curves in class 20328.m do not have complex multiplication.Modular form 20328.2.a.m
sage: E.q_eigenform(10)