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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 7220.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
7220.e1 | 7220a1 | \([0, -1, 0, -36581, 2695841]\) | \(1245184/5\) | \(21738960692480\) | \([]\) | \(28728\) | \(1.4157\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 7220.e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 7220.e do not have complex multiplication.Modular form 7220.2.a.e
sage: E.q_eigenform(10)