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SageMath
E = EllipticCurve("bt1")
E.isogeny_class()
Elliptic curves in class 35904.bt
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
35904.bt1 | 35904bl1 | \([0, 1, 0, -9109, -13660813]\) | \(-5102271397888/4915446963867\) | \(-80534683055996928\) | \([]\) | \(516096\) | \(1.9230\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 35904.bt1 has rank \(1\).
Complex multiplication
The elliptic curves in class 35904.bt do not have complex multiplication.Modular form 35904.2.a.bt
sage: E.q_eigenform(10)