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SageMath
E = EllipticCurve("in1")
E.isogeny_class()
Elliptic curves in class 485100.in
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
485100.in1 | 485100in1 | \([0, 0, 0, -235200, 402608500]\) | \(-205520896/9882675\) | \(-69191730600300000000\) | \([]\) | \(9953280\) | \(2.4869\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 485100.in1 has rank \(0\).
Complex multiplication
The elliptic curves in class 485100.in do not have complex multiplication.Modular form 485100.2.a.in
sage: E.q_eigenform(10)