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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 54390v
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
54390.p1 | 54390v1 | \([1, 0, 1, 9921, 198202]\) | \(918046641959/674325000\) | \(-79333661925000\) | \([]\) | \(237600\) | \(1.3553\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 54390v1 has rank \(0\).
Complex multiplication
The elliptic curves in class 54390v do not have complex multiplication.Modular form 54390.2.a.v
sage: E.q_eigenform(10)