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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 361998v
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 361998.v1 | 361998v1 | \([1, -1, 0, -2411577, -1501446803]\) | \(-440797954857625/21898985472\) | \(-77056918501829640192\) | \([]\) | \(11031552\) | \(2.5771\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 361998v1 has rank \(0\).
Complex multiplication
The elliptic curves in class 361998v do not have complex multiplication.Modular form 361998.2.a.v
sage: E.q_eigenform(10)