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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 7840v
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 7840.d1 | 7840v1 | \([0, 1, 0, -800, -10760]\) | \(-19208/5\) | \(-14757890560\) | \([]\) | \(4704\) | \(0.66827\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 7840v1 has rank \(1\).
Complex multiplication
The elliptic curves in class 7840v do not have complex multiplication.Modular form 7840.2.a.v
sage: E.q_eigenform(10)