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SageMath
E = EllipticCurve("ek1")
E.isogeny_class()
Elliptic curves in class 324870ek
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
324870.ek1 | 324870ek1 | \([1, 1, 1, -11810, -519793]\) | \(-1548415333009/77332320\) | \(-9098070115680\) | \([]\) | \(806400\) | \(1.2476\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 324870ek1 has rank \(0\).
Complex multiplication
The elliptic curves in class 324870ek do not have complex multiplication.Modular form 324870.2.a.ek
sage: E.q_eigenform(10)