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SageMath
E = EllipticCurve("dm1")
E.isogeny_class()
Elliptic curves in class 397800.dm
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
397800.dm1 | 397800dm1 | \([0, 0, 0, -4747500, -3981487500]\) | \(6493085107200/3757\) | \(6847132500000000\) | \([]\) | \(6074880\) | \(2.3635\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 397800.dm1 has rank \(0\).
Complex multiplication
The elliptic curves in class 397800.dm do not have complex multiplication.Modular form 397800.2.a.dm
sage: E.q_eigenform(10)