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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 2800.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
2800.d1 | 2800e1 | \([0, 1, 0, -208, -2037]\) | \(-6400/7\) | \(-1093750000\) | \([]\) | \(1440\) | \(0.42915\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 2800.d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 2800.d do not have complex multiplication.Modular form 2800.2.a.d
sage: E.q_eigenform(10)