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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 4840d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
4840.g1 | 4840d1 | \([0, 1, 0, 224, 22240]\) | \(453962/78125\) | \(-212960000000\) | \([]\) | \(4032\) | \(0.85297\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 4840d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 4840d do not have complex multiplication.Modular form 4840.2.a.d
sage: E.q_eigenform(10)