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SageMath
E = EllipticCurve("cv1")
E.isogeny_class()
Elliptic curves in class 21294.cv
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
21294.cv1 | 21294cn1 | \([1, -1, 1, -152836196, 731454676359]\) | \(-112205650221491190337/745029571313664\) | \(-2621568155820459774050304\) | \([]\) | \(6397440\) | \(3.5211\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 21294.cv1 has rank \(0\).
Complex multiplication
The elliptic curves in class 21294.cv do not have complex multiplication.Modular form 21294.2.a.cv
sage: E.q_eigenform(10)