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SageMath
E = EllipticCurve("bt1")
E.isogeny_class()
Elliptic curves in class 344760.bt
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 344760.bt1 | 344760bt1 | \([0, 1, 0, 37310919, -9067479381]\) | \(785630190986477597696/459518280029296875\) | \(-3359821208554687500000000\) | \([]\) | \(45416448\) | \(3.3956\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 344760.bt1 has rank \(1\).
Complex multiplication
The elliptic curves in class 344760.bt do not have complex multiplication.Modular form 344760.2.a.bt
sage: E.q_eigenform(10)