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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 60840.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
60840.d1 | 60840m1 | \([0, 0, 0, -2028, 457652]\) | \(-173056/16875\) | \(-89946586080000\) | \([]\) | \(147456\) | \(1.3571\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 60840.d1 has rank \(2\).
Complex multiplication
The elliptic curves in class 60840.d do not have complex multiplication.Modular form 60840.2.a.d
sage: E.q_eigenform(10)