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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 334620m
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 334620.m1 | 334620m1 | \([0, 0, 0, 1872, -18252]\) | \(1769472/1375\) | \(-563767776000\) | \([]\) | \(442368\) | \(0.94285\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 334620m1 has rank \(1\).
Complex multiplication
The elliptic curves in class 334620m do not have complex multiplication.Modular form 334620.2.a.m
sage: E.q_eigenform(10)