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SageMath
E = EllipticCurve("dd1")
E.isogeny_class()
Elliptic curves in class 277350.dd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
277350.dd1 | 277350dd1 | \([1, 0, 0, -786788, 14589291792]\) | \(-7373425/12582912\) | \(-91919747207143096320000\) | \([]\) | \(23362416\) | \(3.0852\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 277350.dd1 has rank \(0\).
Complex multiplication
The elliptic curves in class 277350.dd do not have complex multiplication.Modular form 277350.2.a.dd
sage: E.q_eigenform(10)