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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 1400i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1400.n1 | 1400i1 | \([0, 0, 0, -10300, 414500]\) | \(-30211716096/1071875\) | \(-4287500000000\) | \([]\) | \(5760\) | \(1.1962\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1400i1 has rank \(0\).
Complex multiplication
The elliptic curves in class 1400i do not have complex multiplication.Modular form 1400.2.a.i
sage: E.q_eigenform(10)