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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 4620i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
4620.i1 | 4620i1 | \([0, 1, 0, -21, 39]\) | \(-4194304/1155\) | \(-295680\) | \([]\) | \(480\) | \(-0.23439\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 4620i1 has rank \(1\).
Complex multiplication
The elliptic curves in class 4620i do not have complex multiplication.Modular form 4620.2.a.i
sage: E.q_eigenform(10)