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SageMath
E = EllipticCurve("ed1")
E.isogeny_class()
Elliptic curves in class 111600ed
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
111600.bh1 | 111600ed1 | \([0, 0, 0, -732675, -272650750]\) | \(-932288503609/148800000\) | \(-6942412800000000000\) | \([]\) | \(1658880\) | \(2.3434\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 111600ed1 has rank \(1\).
Complex multiplication
The elliptic curves in class 111600ed do not have complex multiplication.Modular form 111600.2.a.ed
sage: E.q_eigenform(10)