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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 546.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
546.e1 | 546e1 | \([1, 1, 1, -100484, -12372091]\) | \(-112205650221491190337/745029571313664\) | \(-745029571313664\) | \([]\) | \(4760\) | \(1.6893\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 546.e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 546.e do not have complex multiplication.Modular form 546.2.a.e
sage: E.q_eigenform(10)