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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 8664.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
8664.e1 | 8664j1 | \([0, -1, 0, 13, -12]\) | \(38912/27\) | \(-155952\) | \([]\) | \(864\) | \(-0.31500\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 8664.e1 has rank \(1\).
Complex multiplication
The elliptic curves in class 8664.e do not have complex multiplication.Modular form 8664.2.a.e
sage: E.q_eigenform(10)