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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 35904.t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
35904.t1 | 35904d1 | \([0, -1, 0, -33, 99]\) | \(-64000000/15147\) | \(-969408\) | \([]\) | \(5120\) | \(-0.13226\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 35904.t1 has rank \(1\).
Complex multiplication
The elliptic curves in class 35904.t do not have complex multiplication.Modular form 35904.2.a.t
sage: E.q_eigenform(10)