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SageMath
E = EllipticCurve("it1")
E.isogeny_class()
Elliptic curves in class 348480.it
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
348480.it1 | 348480it1 | \([0, 0, 0, 2772, -52272]\) | \(9261/10\) | \(-2543580610560\) | \([]\) | \(645120\) | \(1.0670\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 348480.it1 has rank \(1\).
Complex multiplication
The elliptic curves in class 348480.it do not have complex multiplication.Modular form 348480.2.a.it
sage: E.q_eigenform(10)