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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 270480.i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
270480.i1 | 270480i1 | \([0, -1, 0, -210506, 37242675]\) | \(1315840197052976896/84228515625\) | \(66035156250000\) | \([]\) | \(1931904\) | \(1.7096\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 270480.i1 has rank \(1\).
Complex multiplication
The elliptic curves in class 270480.i do not have complex multiplication.Modular form 270480.2.a.i
sage: E.q_eigenform(10)