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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 265200.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
265200.b1 | 265200b1 | \([0, -1, 0, -2158, 46687]\) | \(-4447738624/1077375\) | \(-269343750000\) | \([]\) | \(414720\) | \(0.91181\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 265200.b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 265200.b do not have complex multiplication.Modular form 265200.2.a.b
sage: E.q_eigenform(10)