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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 152520.i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
152520.i1 | 152520ba1 | \([0, -1, 0, 184, 9516]\) | \(334568302/19541625\) | \(-40021248000\) | \([]\) | \(107136\) | \(0.71404\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 152520.i1 has rank \(0\).
Complex multiplication
The elliptic curves in class 152520.i do not have complex multiplication.Modular form 152520.2.a.i
sage: E.q_eigenform(10)