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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 281775.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
281775.a1 | 281775a1 | \([0, -1, 1, -98956008, -378860127832]\) | \(-57834888040448/823875\) | \(-1526587292952591796875\) | \([]\) | \(60632064\) | \(3.2044\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 281775.a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 281775.a do not have complex multiplication.Modular form 281775.2.a.a
sage: E.q_eigenform(10)