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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 198198.v
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
198198.v1 | 198198da1 | \([1, -1, 0, -8190, -325836]\) | \(-47045881/8736\) | \(-11282264177184\) | \([]\) | \(432000\) | \(1.2290\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 198198.v1 has rank \(1\).
Complex multiplication
The elliptic curves in class 198198.v do not have complex multiplication.Modular form 198198.2.a.v
sage: E.q_eigenform(10)