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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 4864.m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
4864.m1 | 4864b1 | \([0, 1, 0, 37, 41]\) | \(10648000/6859\) | \(-3511808\) | \([]\) | \(576\) | \(-0.055107\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 4864.m1 has rank \(1\).
Complex multiplication
The elliptic curves in class 4864.m do not have complex multiplication.Modular form 4864.2.a.m
sage: E.q_eigenform(10)