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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 21675g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
21675.y1 | 21675g1 | \([0, -1, 1, -16008, -106207]\) | \(100471803904/56953125\) | \(257178955078125\) | \([]\) | \(145152\) | \(1.4550\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 21675g1 has rank \(1\).
Complex multiplication
The elliptic curves in class 21675g do not have complex multiplication.Modular form 21675.2.a.g
sage: E.q_eigenform(10)