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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 355740n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
355740.n1 | 355740n1 | \([0, -1, 0, -67414706, 236056914381]\) | \(-155793446144/20503125\) | \(-4459216194864384272550000\) | \([]\) | \(63866880\) | \(3.4627\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 355740n1 has rank \(0\).
Complex multiplication
The elliptic curves in class 355740n do not have complex multiplication.Modular form 355740.2.a.n
sage: E.q_eigenform(10)