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SageMath
E = EllipticCurve("vp1")
E.isogeny_class()
Elliptic curves in class 235200.vp
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 235200.vp1 | 235200vp1 | \([0, 1, 0, -14438013, 21566834883]\) | \(-46028377077760/1162261467\) | \(-8404738490724615244800\) | \([]\) | \(12257280\) | \(2.9910\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 235200.vp1 has rank \(1\).
Complex multiplication
The elliptic curves in class 235200.vp do not have complex multiplication.Modular form 235200.2.a.vp
sage: E.q_eigenform(10)