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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 53176.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
53176.a1 | 53176b1 | \([0, 0, 0, -15895, -771341]\) | \(-1149984000/23\) | \(-8882625392\) | \([]\) | \(110592\) | \(1.0297\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 53176.a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 53176.a do not have complex multiplication.Modular form 53176.2.a.a
sage: E.q_eigenform(10)