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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 401200.t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
401200.t1 | 401200t1 | \([0, -1, 0, -35408, -2554688]\) | \(-76711450249/68204\) | \(-4365056000000\) | \([]\) | \(1290240\) | \(1.3504\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 401200.t1 has rank \(1\).
Complex multiplication
The elliptic curves in class 401200.t do not have complex multiplication.Modular form 401200.2.a.t
sage: E.q_eigenform(10)