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SageMath
E = EllipticCurve("do1")
E.isogeny_class()
Elliptic curves in class 397800.do
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
397800.do1 | 397800do1 | \([0, 0, 0, -29175, 6649875]\) | \(-406867062528/2594678125\) | \(-17514077343750000\) | \([]\) | \(2949120\) | \(1.8003\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 397800.do1 has rank \(2\).
Complex multiplication
The elliptic curves in class 397800.do do not have complex multiplication.Modular form 397800.2.a.do
sage: E.q_eigenform(10)