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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 41070e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
41070.f1 | 41070e1 | \([1, 1, 0, -28, -8]\) | \(1874161/1080\) | \(1478520\) | \([]\) | \(7776\) | \(-0.12656\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 41070e1 has rank \(1\).
Complex multiplication
The elliptic curves in class 41070e do not have complex multiplication.Modular form 41070.2.a.e
sage: E.q_eigenform(10)