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SageMath
E = EllipticCurve("dl1")
E.isogeny_class()
Elliptic curves in class 179520dl
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
179520.i1 | 179520dl1 | \([0, -1, 0, -2086721, 1160930145]\) | \(-15333353550269455684/41038903125\) | \(-2689525555200000\) | \([]\) | \(2611200\) | \(2.1953\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 179520dl1 has rank \(1\).
Complex multiplication
The elliptic curves in class 179520dl do not have complex multiplication.Modular form 179520.2.a.dl
sage: E.q_eigenform(10)