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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 4200t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
4200.b1 | 4200t1 | \([0, -1, 0, -1708, 82537]\) | \(-88218880/413343\) | \(-2583393750000\) | \([]\) | \(4800\) | \(1.0663\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 4200t1 has rank \(1\).
Complex multiplication
The elliptic curves in class 4200t do not have complex multiplication.Modular form 4200.2.a.t
sage: E.q_eigenform(10)