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SageMath
E = EllipticCurve("gm1")
E.isogeny_class()
Elliptic curves in class 78400gm
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
78400.ku1 | 78400gm1 | \([0, 0, 0, -34300, 4802000]\) | \(-3024/5\) | \(-7378945280000000\) | \([]\) | \(774144\) | \(1.7357\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 78400gm1 has rank \(0\).
Complex multiplication
The elliptic curves in class 78400gm do not have complex multiplication.Modular form 78400.2.a.gm
sage: E.q_eigenform(10)