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SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 5175.y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
5175.y1 | 5175n1 | \([0, 0, 1, 1575, 36281]\) | \(37933056/71875\) | \(-818701171875\) | \([]\) | \(7680\) | \(0.97054\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 5175.y1 has rank \(1\).
Complex multiplication
The elliptic curves in class 5175.y do not have complex multiplication.Modular form 5175.2.a.y
sage: E.q_eigenform(10)