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SageMath
E = EllipticCurve("fm1")
E.isogeny_class()
Elliptic curves in class 486720.fm
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
486720.fm1 | 486720fm1 | \([0, 0, 0, -47658, -4117178]\) | \(-53157376/1755\) | \(-395225299235520\) | \([]\) | \(1548288\) | \(1.5756\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 486720.fm1 has rank \(0\).
Complex multiplication
The elliptic curves in class 486720.fm do not have complex multiplication.Modular form 486720.2.a.fm
sage: E.q_eigenform(10)