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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 9900.t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
9900.t1 | 9900ba1 | \([0, 0, 0, 60000, -3557500]\) | \(327680000/264627\) | \(-19291308300000000\) | \([]\) | \(40320\) | \(1.8127\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 9900.t1 has rank \(1\).
Complex multiplication
The elliptic curves in class 9900.t do not have complex multiplication.Modular form 9900.2.a.t
sage: E.q_eigenform(10)