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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 372810w
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 372810.w1 | 372810w1 | \([1, 1, 0, -15761632, 38655947776]\) | \(-17940468383503611049/16370657280000000\) | \(-395147869671352320000000\) | \([]\) | \(57576960\) | \(3.2246\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 372810w1 has rank \(0\).
Complex multiplication
The elliptic curves in class 372810w do not have complex multiplication.Modular form 372810.2.a.w
sage: E.q_eigenform(10)