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SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 455175.y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
455175.y1 | 455175y1 | \([0, 0, 1, -1105425, 447359356]\) | \(-1269043200/49\) | \(-5768079434026875\) | \([]\) | \(12102912\) | \(2.1091\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 455175.y1 has rank \(0\).
Complex multiplication
The elliptic curves in class 455175.y do not have complex multiplication.Modular form 455175.2.a.y
sage: E.q_eigenform(10)