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SageMath
E = EllipticCurve("ib1")
E.isogeny_class()
Elliptic curves in class 338800ib
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
338800.ib1 | 338800ib1 | \([0, 0, 0, -347875, 85383650]\) | \(-1026590625/100352\) | \(-455116005048320000\) | \([]\) | \(7539840\) | \(2.1292\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 338800ib1 has rank \(0\).
Complex multiplication
The elliptic curves in class 338800ib do not have complex multiplication.Modular form 338800.2.a.ib
sage: E.q_eigenform(10)