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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 7840d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
7840.p1 | 7840d1 | \([0, 1, 0, -72781, -13137125]\) | \(-88478050816/102942875\) | \(-49607173328384000\) | \([]\) | \(64512\) | \(1.8977\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 7840d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 7840d do not have complex multiplication.Modular form 7840.2.a.d
sage: E.q_eigenform(10)