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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 78400.j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
78400.j1 | 78400di1 | \([0, 0, 0, 9160550, -10469474750]\) | \(722603599520256/820654296875\) | \(-96549157373046875000000\) | \([]\) | \(12165120\) | \(3.0968\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 78400.j1 has rank \(0\).
Complex multiplication
The elliptic curves in class 78400.j do not have complex multiplication.Modular form 78400.2.a.j
sage: E.q_eigenform(10)