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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 7623.m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
7623.m1 | 7623n1 | \([1, -1, 0, -28980, -1896251]\) | \(-30515071121161/85766121\) | \(-7565343767289\) | \([]\) | \(20736\) | \(1.3435\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 7623.m1 has rank \(0\).
Complex multiplication
The elliptic curves in class 7623.m do not have complex multiplication.Modular form 7623.2.a.m
sage: E.q_eigenform(10)