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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 60984.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
60984.e1 | 60984l1 | \([0, 0, 0, -1616439, -791081181]\) | \(-610325920583424/55240493\) | \(-42276342104455536\) | \([]\) | \(921600\) | \(2.2297\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 60984.e1 has rank \(1\).
Complex multiplication
The elliptic curves in class 60984.e do not have complex multiplication.Modular form 60984.2.a.e
sage: E.q_eigenform(10)