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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 6672a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
6672.e1 | 6672a1 | \([0, -1, 0, -48, -144]\) | \(-12194500/3753\) | \(-3843072\) | \([]\) | \(768\) | \(-0.022882\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 6672a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 6672a do not have complex multiplication.Modular form 6672.2.a.a
sage: E.q_eigenform(10)