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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 213440v
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 213440.bv1 | 213440v1 | \([0, 0, 0, -20428, -637552]\) | \(3596344921161/1411372000\) | \(369982701568000\) | \([]\) | \(1520640\) | \(1.4940\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 213440v1 has rank \(0\).
Complex multiplication
The elliptic curves in class 213440v do not have complex multiplication.Modular form 213440.2.a.v
sage: E.q_eigenform(10)