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SageMath
E = EllipticCurve("dc1")
E.isogeny_class()
Elliptic curves in class 446400dc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
446400.dc1 | 446400dc1 | \([0, 0, 0, -2930700, -2181206000]\) | \(-932288503609/148800000\) | \(-444314419200000000000\) | \([]\) | \(13271040\) | \(2.6900\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 446400dc1 has rank \(1\).
Complex multiplication
The elliptic curves in class 446400dc do not have complex multiplication.Modular form 446400.2.a.dc
sage: E.q_eigenform(10)