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SageMath
E = EllipticCurve("be1")
E.isogeny_class()
Elliptic curves in class 185150.be
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
185150.be1 | 185150cs1 | \([1, -1, 0, -2376367, -1523845459]\) | \(-1026590625/100352\) | \(-145075171220000000000\) | \([]\) | \(16727040\) | \(2.6096\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 185150.be1 has rank \(0\).
Complex multiplication
The elliptic curves in class 185150.be do not have complex multiplication.Modular form 185150.2.a.be
sage: E.q_eigenform(10)