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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 329120.i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
329120.i1 | 329120i1 | \([0, -1, 0, 7704, -211880]\) | \(55742968/53125\) | \(-48186459200000\) | \([]\) | \(691200\) | \(1.3126\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 329120.i1 has rank \(1\).
Complex multiplication
The elliptic curves in class 329120.i do not have complex multiplication.Modular form 329120.2.a.i
sage: E.q_eigenform(10)