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SageMath
E = EllipticCurve("db1")
E.isogeny_class()
Elliptic curves in class 75504db
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
75504.ch1 | 75504db1 | \([0, 1, 0, -763049877, -8113180198653]\) | \(-462482914449031168/3326427\) | \(-353398577165232648192\) | \([]\) | \(24634368\) | \(3.5396\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 75504db1 has rank \(1\).
Complex multiplication
The elliptic curves in class 75504db do not have complex multiplication.Modular form 75504.2.a.db
sage: E.q_eigenform(10)