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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 6900.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
6900.d1 | 6900d1 | \([0, -1, 0, -28, -8]\) | \(393040/207\) | \(1324800\) | \([]\) | \(864\) | \(-0.13365\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 6900.d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 6900.d do not have complex multiplication.Modular form 6900.2.a.d
sage: E.q_eigenform(10)