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SageMath
E = EllipticCurve("eq1")
E.isogeny_class()
Elliptic curves in class 57330eq
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
57330.eh1 | 57330eq1 | \([1, -1, 1, -2931557, -11868329469]\) | \(-662989657192009/14097531093750\) | \(-59245437321803417343750\) | \([]\) | \(7526400\) | \(3.0505\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 57330eq1 has rank \(0\).
Complex multiplication
The elliptic curves in class 57330eq do not have complex multiplication.Modular form 57330.2.a.eq
sage: E.q_eigenform(10)