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SageMath
E = EllipticCurve("dj1")
E.isogeny_class()
Elliptic curves in class 54096dj
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
54096.bu1 | 54096dj1 | \([0, 1, 0, -75525, -9347661]\) | \(-98867482624/20696067\) | \(-9973234018234368\) | \([]\) | \(576000\) | \(1.7916\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 54096dj1 has rank \(1\).
Complex multiplication
The elliptic curves in class 54096dj do not have complex multiplication.Modular form 54096.2.a.dj
sage: E.q_eigenform(10)