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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 302330i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
302330.i1 | 302330i1 | \([1, -1, 0, -22990, 1790130]\) | \(-11422548526761/5081260310\) | \(-597805194211190\) | \([]\) | \(1032192\) | \(1.5423\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 302330i1 has rank \(1\).
Complex multiplication
The elliptic curves in class 302330i do not have complex multiplication.Modular form 302330.2.a.i
sage: E.q_eigenform(10)