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SageMath
E = EllipticCurve("er1")
E.isogeny_class()
Elliptic curves in class 202800er
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
202800.u1 | 202800er1 | \([0, -1, 0, 13867, -843363]\) | \(2097152/3375\) | \(-474552000000000\) | \([]\) | \(746496\) | \(1.5013\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 202800er1 has rank \(1\).
Complex multiplication
The elliptic curves in class 202800er do not have complex multiplication.Modular form 202800.2.a.er
sage: E.q_eigenform(10)