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SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 70560.y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
70560.y1 | 70560cw1 | \([0, 0, 0, -132888, -18664688]\) | \(-738763264/875\) | \(-307385777664000\) | \([]\) | \(276480\) | \(1.6915\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 70560.y1 has rank \(0\).
Complex multiplication
The elliptic curves in class 70560.y do not have complex multiplication.Modular form 70560.2.a.y
sage: E.q_eigenform(10)