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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 29400t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
29400.g1 | 29400t1 | \([0, -1, 0, 12, 477]\) | \(1280/729\) | \(-100018800\) | \([]\) | \(9216\) | \(0.21413\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 29400t1 has rank \(2\).
Complex multiplication
The elliptic curves in class 29400t do not have complex multiplication.Modular form 29400.2.a.t
sage: E.q_eigenform(10)