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SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 70805.y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
70805.y1 | 70805bf1 | \([0, 0, 1, -68782, -2484750]\) | \(6193152/3125\) | \(18158768588603125\) | \([]\) | \(685440\) | \(1.8124\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 70805.y1 has rank \(1\).
Complex multiplication
The elliptic curves in class 70805.y do not have complex multiplication.Modular form 70805.2.a.y
sage: E.q_eigenform(10)