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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 377520f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
377520.f1 | 377520f1 | \([0, -1, 0, 322821184, -1114402857984]\) | \(385226073849504061/278469750000000\) | \(-2689503658089870336000000000\) | \([]\) | \(175633920\) | \(3.9516\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 377520f1 has rank \(0\).
Complex multiplication
The elliptic curves in class 377520f do not have complex multiplication.Modular form 377520.2.a.f
sage: E.q_eigenform(10)