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SageMath
E = EllipticCurve("dd1")
E.isogeny_class()
Elliptic curves in class 12096dd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
12096.cx1 | 12096dd1 | \([0, 0, 0, -6, -2]\) | \(13824/7\) | \(12096\) | \([]\) | \(768\) | \(-0.52409\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 12096dd1 has rank \(0\).
Complex multiplication
The elliptic curves in class 12096dd do not have complex multiplication.Modular form 12096.2.a.dd
sage: E.q_eigenform(10)