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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 2072.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
2072.d1 | 2072b1 | \([0, 0, 0, 4, -12]\) | \(27648/259\) | \(-66304\) | \([]\) | \(192\) | \(-0.39362\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 2072.d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 2072.d do not have complex multiplication.Modular form 2072.2.a.d
sage: E.q_eigenform(10)