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SageMath
E = EllipticCurve("io1")
E.isogeny_class()
Elliptic curves in class 397488.io
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
397488.io1 | 397488io1 | \([0, 1, 0, -996480, -440361804]\) | \(-47045881/8736\) | \(-20319870098760400896\) | \([]\) | \(7741440\) | \(2.4293\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 397488.io1 has rank \(0\).
Complex multiplication
The elliptic curves in class 397488.io do not have complex multiplication.Modular form 397488.2.a.io
sage: E.q_eigenform(10)