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SageMath
E = EllipticCurve("dk1")
E.isogeny_class()
Elliptic curves in class 93600.dk
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
93600.dk1 | 93600cb1 | \([0, 0, 0, -352200, 78748400]\) | \(2588953638400/62748517\) | \(117103792366080000\) | \([]\) | \(725760\) | \(2.0595\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 93600.dk1 has rank \(1\).
Complex multiplication
The elliptic curves in class 93600.dk do not have complex multiplication.Modular form 93600.2.a.dk
sage: E.q_eigenform(10)