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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 40310t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
40310.x1 | 40310t1 | \([1, 0, 0, -76, 256]\) | \(-48587168449/1612400\) | \(-1612400\) | \([]\) | \(10240\) | \(-0.034329\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 40310t1 has rank \(1\).
Complex multiplication
The elliptic curves in class 40310t do not have complex multiplication.Modular form 40310.2.a.t
sage: E.q_eigenform(10)