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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 70602.k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
70602.k1 | 70602j1 | \([1, 0, 1, -220, 2108]\) | \(-16974593/18522\) | \(-1276554762\) | \([]\) | \(37440\) | \(0.44206\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 70602.k1 has rank \(1\).
Complex multiplication
The elliptic curves in class 70602.k do not have complex multiplication.Modular form 70602.2.a.k
sage: E.q_eigenform(10)