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SageMath
E = EllipticCurve("jt1")
E.isogeny_class()
Elliptic curves in class 141120jt
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
141120.og1 | 141120jt1 | \([0, 0, 0, 7728, -820064]\) | \(12459008/78125\) | \(-320060160000000\) | \([]\) | \(430080\) | \(1.4651\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 141120jt1 has rank \(0\).
Complex multiplication
The elliptic curves in class 141120jt do not have complex multiplication.Modular form 141120.2.a.jt
sage: E.q_eigenform(10)