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SageMath
E = EllipticCurve("dn1")
E.isogeny_class()
Elliptic curves in class 229320dn
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
229320.dg1 | 229320dn1 | \([0, 0, 0, 2058, -170471]\) | \(14336/195\) | \(-13111924578480\) | \([]\) | \(483840\) | \(1.1978\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 229320dn1 has rank \(0\).
Complex multiplication
The elliptic curves in class 229320dn do not have complex multiplication.Modular form 229320.2.a.dn
sage: E.q_eigenform(10)