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SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 70602x
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
70602.n1 | 70602x1 | \([1, 1, 1, -53827, 26627105]\) | \(-3630961153/62487936\) | \(-296824209804936576\) | \([]\) | \(940800\) | \(2.0338\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 70602x1 has rank \(1\).
Complex multiplication
The elliptic curves in class 70602x do not have complex multiplication.Modular form 70602.2.a.x
sage: E.q_eigenform(10)