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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 165620d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
165620.b1 | 165620d1 | \([0, 0, 0, 264992, -159757052]\) | \(14155776/84035\) | \(-12216548504387951360\) | \([]\) | \(6462720\) | \(2.3444\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 165620d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 165620d do not have complex multiplication.Modular form 165620.2.a.d
sage: E.q_eigenform(10)