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SageMath
E = EllipticCurve("dd1")
E.isogeny_class()
Elliptic curves in class 405600.dd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
405600.dd1 | 405600dd1 | \([0, -1, 0, 867, -24363]\) | \(6656/27\) | \(-292032000000\) | \([]\) | \(460800\) | \(0.88267\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 405600.dd1 has rank \(1\).
Complex multiplication
The elliptic curves in class 405600.dd do not have complex multiplication.Modular form 405600.2.a.dd
sage: E.q_eigenform(10)