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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 70805.i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
70805.i1 | 70805r1 | \([0, -1, 1, -141558076, -649656051934]\) | \(-110470393399988224/284716796875\) | \(-808527614606616748046875\) | \([]\) | \(23721984\) | \(3.4636\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 70805.i1 has rank \(0\).
Complex multiplication
The elliptic curves in class 70805.i do not have complex multiplication.Modular form 70805.2.a.i
sage: E.q_eigenform(10)