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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 2075.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
2075.d1 | 2075a1 | \([1, 0, 1, 24, -27]\) | \(103823/83\) | \(-1296875\) | \([]\) | \(256\) | \(-0.13915\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 2075.d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 2075.d do not have complex multiplication.Modular form 2075.2.a.d
sage: E.q_eigenform(10)