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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 45486i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
45486.o1 | 45486i1 | \([1, -1, 0, 531, 119461]\) | \(62851031/23514624\) | \(-6188320083456\) | \([]\) | \(82944\) | \(1.1336\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 45486i1 has rank \(1\).
Complex multiplication
The elliptic curves in class 45486i do not have complex multiplication.Modular form 45486.2.a.i
sage: E.q_eigenform(10)