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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 281775f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
281775.f1 | 281775f1 | \([0, 1, 1, -2408, -415906]\) | \(-4096/195\) | \(-73544155546875\) | \([]\) | \(1377792\) | \(1.3407\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 281775f1 has rank \(0\).
Complex multiplication
The elliptic curves in class 281775f do not have complex multiplication.Modular form 281775.2.a.f
sage: E.q_eigenform(10)