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SageMath
E = EllipticCurve("vb1")
E.isogeny_class()
Elliptic curves in class 369600.vb
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 369600.vb1 | 369600vb1 | \([0, 1, 0, -833, -3309537]\) | \(-25/1848\) | \(-4730880000000000\) | \([]\) | \(1935360\) | \(1.6866\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 369600.vb1 has rank \(0\).
Complex multiplication
The elliptic curves in class 369600.vb do not have complex multiplication.Modular form 369600.2.a.vb
sage: E.q_eigenform(10)