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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 30576.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
30576.e1 | 30576cg1 | \([0, -1, 0, -78779472, -270646784064]\) | \(-112205650221491190337/745029571313664\) | \(-359022526609331224313856\) | \([]\) | \(5483520\) | \(3.3554\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 30576.e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 30576.e do not have complex multiplication.Modular form 30576.2.a.e
sage: E.q_eigenform(10)