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SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 14994.y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
14994.y1 | 14994p1 | \([1, -1, 0, -37494, -2781864]\) | \(1387087009/1836\) | \(7715863309644\) | \([]\) | \(48384\) | \(1.3792\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 14994.y1 has rank \(1\).
Complex multiplication
The elliptic curves in class 14994.y do not have complex multiplication.Modular form 14994.2.a.y
sage: E.q_eigenform(10)