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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 2175.f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
2175.f1 | 2175g1 | \([0, 1, 1, -153, 749]\) | \(-15947530240/1839267\) | \(-45981675\) | \([]\) | \(336\) | \(0.20672\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 2175.f1 has rank \(1\).
Complex multiplication
The elliptic curves in class 2175.f do not have complex multiplication.Modular form 2175.2.a.f
sage: E.q_eigenform(10)