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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 224400.t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
224400.t1 | 224400dg1 | \([0, -1, 0, -3873891733, -92803658809763]\) | \(-2511459527130857919761612800/12111433867831505427\) | \(-31005270701648653893120000\) | \([]\) | \(127733760\) | \(4.0921\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 224400.t1 has rank \(0\).
Complex multiplication
The elliptic curves in class 224400.t do not have complex multiplication.Modular form 224400.2.a.t
sage: E.q_eigenform(10)