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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 311696n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
311696.n1 | 311696n1 | \([0, 1, 0, -52102552, 144781043988]\) | \(-31561336767775878870433/10701003643411522\) | \(-5303588621733044887552\) | \([]\) | \(33841152\) | \(3.1405\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 311696n1 has rank \(0\).
Complex multiplication
The elliptic curves in class 311696n do not have complex multiplication.Modular form 311696.2.a.n
sage: E.q_eigenform(10)