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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 355740b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
355740.b1 | 355740b1 | \([0, -1, 0, -2877541, 1889517841]\) | \(-1007878144/6075\) | \(-15882785790206227200\) | \([]\) | \(12902400\) | \(2.5239\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 355740b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 355740b do not have complex multiplication.Modular form 355740.2.a.b
sage: E.q_eigenform(10)