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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 7840.v
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
7840.v1 | 7840s1 | \([0, -1, 0, -16, 36]\) | \(-19208/5\) | \(-125440\) | \([]\) | \(672\) | \(-0.30468\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 7840.v1 has rank \(1\).
Complex multiplication
The elliptic curves in class 7840.v do not have complex multiplication.Modular form 7840.2.a.v
sage: E.q_eigenform(10)