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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 397800t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
397800.t1 | 397800t1 | \([0, 0, 0, -27375, 1996875]\) | \(-2688885504/485537\) | \(-409671843750000\) | \([]\) | \(1290240\) | \(1.5290\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 397800t1 has rank \(2\).
Complex multiplication
The elliptic curves in class 397800t do not have complex multiplication.Modular form 397800.2.a.t
sage: E.q_eigenform(10)