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SageMath
E = EllipticCurve("er1")
E.isogeny_class()
Elliptic curves in class 450800.er
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
450800.er1 | 450800er1 | \([0, 1, 0, -1147008, 473511863]\) | \(-5674076449024/14904575\) | \(-438377086043750000\) | \([]\) | \(6193152\) | \(2.2604\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 450800.er1 has rank \(1\).
Complex multiplication
The elliptic curves in class 450800.er do not have complex multiplication.Modular form 450800.2.a.er
sage: E.q_eigenform(10)