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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 86394.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
86394.e1 | 86394k1 | \([1, 1, 0, -266, -1866]\) | \(-17303415217/983178\) | \(-118964538\) | \([]\) | \(34560\) | \(0.30649\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 86394.e1 has rank \(1\).
Complex multiplication
The elliptic curves in class 86394.e do not have complex multiplication.Modular form 86394.2.a.e
sage: E.q_eigenform(10)