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SageMath
E = EllipticCurve("cv1")
E.isogeny_class()
Elliptic curves in class 174570cv
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
174570.g1 | 174570cv1 | \([1, 1, 0, -891805403, -10259863565283]\) | \(-529867148566940437900681/526595228427755520\) | \(-77954992783460860677857280\) | \([]\) | \(92252160\) | \(3.8880\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 174570cv1 has rank \(0\).
Complex multiplication
The elliptic curves in class 174570cv do not have complex multiplication.Modular form 174570.2.a.cv
sage: E.q_eigenform(10)